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Finding the Fourth Proportional to 10,515.80, 15,760.30 and 5,587.80

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Solution

The fourth proportional to 10,515.80, 15,760.30 and 5,587.80 is: 8,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,515.80 : 15,760.30 = 5,587.80 : x
  2. Step 2: Convert to fraction form
    10,515.80/15,760.30 = 5,587.80/x
  3. Step 3: Cross multiply
    10,515.80x = 15,760.30 × 5,587.80
  4. Step 4: Simplify right side
    10,515.80x = 88,065,404.34
  5. Step 5: Solve for x
    x = 88,065,404.34/10,515.80
  6. Step 6: Final answer
    x = 8,374.58

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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.