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Finding the Fourth Proportional to 10,270.88, 14,175.24 and 7,614.08

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Solution

The fourth proportional to 10,270.88, 14,175.24 and 7,614.08 is: 10,508.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,270.88 : 14,175.24 = 7,614.08 : x
  2. Step 2: Convert to fraction form
    10,270.88/14,175.24 = 7,614.08/x
  3. Step 3: Cross multiply
    10,270.88x = 14,175.24 × 7,614.08
  4. Step 4: Simplify right side
    10,270.88x = 107,931,411.38
  5. Step 5: Solve for x
    x = 107,931,411.38/10,270.88
  6. Step 6: Final answer
    x = 10,508.49

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Why These Related Problems?

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