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Finding the Fourth Proportional to 11,507.40, 17,263.62 and 6,831.68

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Solution

The fourth proportional to 11,507.40, 17,263.62 and 6,831.68 is: 10,249.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,507.40 : 17,263.62 = 6,831.68 : x
  2. Step 2: Convert to fraction form
    11,507.40/17,263.62 = 6,831.68/x
  3. Step 3: Cross multiply
    11,507.40x = 17,263.62 × 6,831.68
  4. Step 4: Simplify right side
    11,507.40x = 117,939,441.16
  5. Step 5: Solve for x
    x = 117,939,441.16/11,507.40
  6. Step 6: Final answer
    x = 10,249.01

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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.