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Finding the Fourth Proportional to 11,705.31, 16,153.14 and 6,400.02

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Solution

The fourth proportional to 11,705.31, 16,153.14 and 6,400.02 is: 8,831.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.31 : 16,153.14 = 6,400.02 : x
  2. Step 2: Convert to fraction form
    11,705.31/16,153.14 = 6,400.02/x
  3. Step 3: Cross multiply
    11,705.31x = 16,153.14 × 6,400.02
  4. Step 4: Simplify right side
    11,705.31x = 103,380,419.06
  5. Step 5: Solve for x
    x = 103,380,419.06/11,705.31
  6. Step 6: Final answer
    x = 8,831.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.