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Finding the Fourth Proportional to 10,454.68, 15,681.75 and 2,557.18

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Solution

The fourth proportional to 10,454.68, 15,681.75 and 2,557.18 is: 3,835.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,454.68 : 15,681.75 = 2,557.18 : x
  2. Step 2: Convert to fraction form
    10,454.68/15,681.75 = 2,557.18/x
  3. Step 3: Cross multiply
    10,454.68x = 15,681.75 × 2,557.18
  4. Step 4: Simplify right side
    10,454.68x = 40,101,057.47
  5. Step 5: Solve for x
    x = 40,101,057.47/10,454.68
  6. Step 6: Final answer
    x = 3,835.70

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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.