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Finding the Fourth Proportional to 10,189.87, 15,289.19 and 5,513.17

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Solution

The fourth proportional to 10,189.87, 15,289.19 and 5,513.17 is: 8,272.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,189.87 : 15,289.19 = 5,513.17 : x
  2. Step 2: Convert to fraction form
    10,189.87/15,289.19 = 5,513.17/x
  3. Step 3: Cross multiply
    10,189.87x = 15,289.19 × 5,513.17
  4. Step 4: Simplify right side
    10,189.87x = 84,291,827.19
  5. Step 5: Solve for x
    x = 84,291,827.19/10,189.87
  6. Step 6: Final answer
    x = 8,272.12

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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.