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Finding the Fourth Proportional to 10,437.47, 14,404.37 and 5,721.76

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Solution

The fourth proportional to 10,437.47, 14,404.37 and 5,721.76 is: 7,896.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,437.47 : 14,404.37 = 5,721.76 : x
  2. Step 2: Convert to fraction form
    10,437.47/14,404.37 = 5,721.76/x
  3. Step 3: Cross multiply
    10,437.47x = 14,404.37 × 5,721.76
  4. Step 4: Simplify right side
    10,437.47x = 82,418,348.09
  5. Step 5: Solve for x
    x = 82,418,348.09/10,437.47
  6. Step 6: Final answer
    x = 7,896.39

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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.