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Finding the Fourth Proportional to 10,917.68, 15,065.84 and 6,201.36

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Solution

The fourth proportional to 10,917.68, 15,065.84 and 6,201.36 is: 8,557.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,917.68 : 15,065.84 = 6,201.36 : x
  2. Step 2: Convert to fraction form
    10,917.68/15,065.84 = 6,201.36/x
  3. Step 3: Cross multiply
    10,917.68x = 15,065.84 × 6,201.36
  4. Step 4: Simplify right side
    10,917.68x = 93,428,697.54
  5. Step 5: Solve for x
    x = 93,428,697.54/10,917.68
  6. Step 6: Final answer
    x = 8,557.56

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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.