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Finding the Fourth Proportional to 11,149.92, 15,387.57 and 6,434.51

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Solution

The fourth proportional to 11,149.92, 15,387.57 and 6,434.51 is: 8,880.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,149.92 : 15,387.57 = 6,434.51 : x
  2. Step 2: Convert to fraction form
    11,149.92/15,387.57 = 6,434.51/x
  3. Step 3: Cross multiply
    11,149.92x = 15,387.57 × 6,434.51
  4. Step 4: Simplify right side
    11,149.92x = 99,011,396.10
  5. Step 5: Solve for x
    x = 99,011,396.10/11,149.92
  6. Step 6: Final answer
    x = 8,880.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.