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Finding the Fourth Proportional to 10,354, 15,531.12 and 2,562.88

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Solution

The fourth proportional to 10,354, 15,531.12 and 2,562.88 is: 3,844.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354 : 15,531.12 = 2,562.88 : x
  2. Step 2: Convert to fraction form
    10,354/15,531.12 = 2,562.88/x
  3. Step 3: Cross multiply
    10,354x = 15,531.12 × 2,562.88
  4. Step 4: Simplify right side
    10,354x = 39,804,396.83
  5. Step 5: Solve for x
    x = 39,804,396.83/10,354
  6. Step 6: Final answer
    x = 3,844.35

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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.