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Finding the Fourth Proportional to 10,917.64, 15,065.90 and 6,201.40

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Solution

The fourth proportional to 10,917.64, 15,065.90 and 6,201.40 is: 8,557.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.64 : 15,065.90 = 6,201.40 : x
  2. Step 2: Convert to fraction form
    10,917.64/15,065.90 = 6,201.40/x
  3. Step 3: Cross multiply
    10,917.64x = 15,065.90 × 6,201.40
  4. Step 4: Simplify right side
    10,917.64x = 93,429,612.43
  5. Step 5: Solve for x
    x = 93,429,612.43/10,917.64
  6. Step 6: Final answer
    x = 8,557.68

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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.