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Finding the Fourth Proportional to 10,129.80, 15,191.10 and 4,585.80

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Solution

The fourth proportional to 10,129.80, 15,191.10 and 4,585.80 is: 6,877.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.80 : 15,191.10 = 4,585.80 : x
  2. Step 2: Convert to fraction form
    10,129.80/15,191.10 = 4,585.80/x
  3. Step 3: Cross multiply
    10,129.80x = 15,191.10 × 4,585.80
  4. Step 4: Simplify right side
    10,129.80x = 69,663,346.38
  5. Step 5: Solve for x
    x = 69,663,346.38/10,129.80
  6. Step 6: Final answer
    x = 6,877.07

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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.