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Finding the Fourth Proportional to 7,887.84, 11,831.76 and 2,693.76

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Solution

The fourth proportional to 7,887.84, 11,831.76 and 2,693.76 is: 4,040.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.84 : 11,831.76 = 2,693.76 : x
  2. Step 2: Convert to fraction form
    7,887.84/11,831.76 = 2,693.76/x
  3. Step 3: Cross multiply
    7,887.84x = 11,831.76 × 2,693.76
  4. Step 4: Simplify right side
    7,887.84x = 31,871,921.82
  5. Step 5: Solve for x
    x = 31,871,921.82/7,887.84
  6. Step 6: Final answer
    x = 4,040.64

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.