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Finding the Fourth Proportional to 10,587.54, 15,883.42 and 3,191.70

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Solution

The fourth proportional to 10,587.54, 15,883.42 and 3,191.70 is: 4,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,587.54 : 15,883.42 = 3,191.70 : x
  2. Step 2: Convert to fraction form
    10,587.54/15,883.42 = 3,191.70/x
  3. Step 3: Cross multiply
    10,587.54x = 15,883.42 × 3,191.70
  4. Step 4: Simplify right side
    10,587.54x = 50,695,111.61
  5. Step 5: Solve for x
    x = 50,695,111.61/10,587.54
  6. Step 6: Final answer
    x = 4,788.19

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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.