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Finding the Fourth Proportional to 10,587.68, 15,846.12 and 10,447.80

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Solution

The fourth proportional to 10,587.68, 15,846.12 and 10,447.80 is: 15,636.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.68 : 15,846.12 = 10,447.80 : x
  2. Step 2: Convert to fraction form
    10,587.68/15,846.12 = 10,447.80/x
  3. Step 3: Cross multiply
    10,587.68x = 15,846.12 × 10,447.80
  4. Step 4: Simplify right side
    10,587.68x = 165,557,092.54
  5. Step 5: Solve for x
    x = 165,557,092.54/10,587.68
  6. Step 6: Final answer
    x = 15,636.77

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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.