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Finding the Fourth Proportional to 10,488.68, 15,733.04 and 3,563

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Solution

The fourth proportional to 10,488.68, 15,733.04 and 3,563 is: 5,344.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,488.68 : 15,733.04 = 3,563 : x
  2. Step 2: Convert to fraction form
    10,488.68/15,733.04 = 3,563/x
  3. Step 3: Cross multiply
    10,488.68x = 15,733.04 × 3,563
  4. Step 4: Simplify right side
    10,488.68x = 56,056,821.52
  5. Step 5: Solve for x
    x = 56,056,821.52/10,488.68
  6. Step 6: Final answer
    x = 5,344.51

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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.