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Finding the Fourth Proportional to 10,356.68, 15,535.02 and 2,565.40

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Solution

The fourth proportional to 10,356.68, 15,535.02 and 2,565.40 is: 3,848.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.68 : 15,535.02 = 2,565.40 : x
  2. Step 2: Convert to fraction form
    10,356.68/15,535.02 = 2,565.40/x
  3. Step 3: Cross multiply
    10,356.68x = 15,535.02 × 2,565.40
  4. Step 4: Simplify right side
    10,356.68x = 39,853,540.31
  5. Step 5: Solve for x
    x = 39,853,540.31/10,356.68
  6. Step 6: Final answer
    x = 3,848.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.