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Finding the Fourth Proportional to 10,587.68, 15,883.14 and 3,191.16

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Solution

The fourth proportional to 10,587.68, 15,883.14 and 3,191.16 is: 4,787.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.68 : 15,883.14 = 3,191.16 : x
  2. Step 2: Convert to fraction form
    10,587.68/15,883.14 = 3,191.16/x
  3. Step 3: Cross multiply
    10,587.68x = 15,883.14 × 3,191.16
  4. Step 4: Simplify right side
    10,587.68x = 50,685,641.04
  5. Step 5: Solve for x
    x = 50,685,641.04/10,587.68
  6. Step 6: Final answer
    x = 4,787.23

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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.