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Finding the Fourth Proportional to 7,493.31, 10,344.91 and 4,509.88

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Solution

The fourth proportional to 7,493.31, 10,344.91 and 4,509.88 is: 6,226.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,493.31 : 10,344.91 = 4,509.88 : x
  2. Step 2: Convert to fraction form
    7,493.31/10,344.91 = 4,509.88/x
  3. Step 3: Cross multiply
    7,493.31x = 10,344.91 × 4,509.88
  4. Step 4: Simplify right side
    7,493.31x = 46,654,239.71
  5. Step 5: Solve for x
    x = 46,654,239.71/7,493.31
  6. Step 6: Final answer
    x = 6,226.12

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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.