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Finding the Fourth Proportional to 10,587.72, 15,878.19 and 3,565.83

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Solution

The fourth proportional to 10,587.72, 15,878.19 and 3,565.83 is: 5,347.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.72 : 15,878.19 = 3,565.83 : x
  2. Step 2: Convert to fraction form
    10,587.72/15,878.19 = 3,565.83/x
  3. Step 3: Cross multiply
    10,587.72x = 15,878.19 × 3,565.83
  4. Step 4: Simplify right side
    10,587.72x = 56,618,926.25
  5. Step 5: Solve for x
    x = 56,618,926.25/10,587.72
  6. Step 6: Final answer
    x = 5,347.60

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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.