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Finding the Fourth Proportional to 10,587.54, 15,878.54 and 5,029.83

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Solution

The fourth proportional to 10,587.54, 15,878.54 and 5,029.83 is: 7,543.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.54 : 15,878.54 = 5,029.83 : x
  2. Step 2: Convert to fraction form
    10,587.54/15,878.54 = 5,029.83/x
  3. Step 3: Cross multiply
    10,587.54x = 15,878.54 × 5,029.83
  4. Step 4: Simplify right side
    10,587.54x = 79,866,331.70
  5. Step 5: Solve for x
    x = 79,866,331.70/10,587.54
  6. Step 6: Final answer
    x = 7,543.43

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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.