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Finding the Fourth Proportional to 8,831.32, 13,178.69 and 7,849.60

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Solution

The fourth proportional to 8,831.32, 13,178.69 and 7,849.60 is: 11,713.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,831.32 : 13,178.69 = 7,849.60 : x
  2. Step 2: Convert to fraction form
    8,831.32/13,178.69 = 7,849.60/x
  3. Step 3: Cross multiply
    8,831.32x = 13,178.69 × 7,849.60
  4. Step 4: Simplify right side
    8,831.32x = 103,447,445.02
  5. Step 5: Solve for x
    x = 103,447,445.02/8,831.32
  6. Step 6: Final answer
    x = 11,713.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.