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Finding the Fourth Proportional to 10,877.47, 15,007.26 and 7,519.06

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Solution

The fourth proportional to 10,877.47, 15,007.26 and 7,519.06 is: 10,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,877.47 : 15,007.26 = 7,519.06 : x
  2. Step 2: Convert to fraction form
    10,877.47/15,007.26 = 7,519.06/x
  3. Step 3: Cross multiply
    10,877.47x = 15,007.26 × 7,519.06
  4. Step 4: Simplify right side
    10,877.47x = 112,840,488.38
  5. Step 5: Solve for x
    x = 112,840,488.38/10,877.47
  6. Step 6: Final answer
    x = 10,373.78

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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.