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Finding the Fourth Proportional to 10,587.12, 15,880.80 and 3,660

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Solution

The fourth proportional to 10,587.12, 15,880.80 and 3,660 is: 5,490.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.12 : 15,880.80 = 3,660 : x
  2. Step 2: Convert to fraction form
    10,587.12/15,880.80 = 3,660/x
  3. Step 3: Cross multiply
    10,587.12x = 15,880.80 × 3,660
  4. Step 4: Simplify right side
    10,587.12x = 58,123,728
  5. Step 5: Solve for x
    x = 58,123,728/10,587.12
  6. Step 6: Final answer
    x = 5,490.04

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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.