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Finding the Fourth Proportional to 7,491.52, 10,338.24 and 4,348

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Solution

The fourth proportional to 7,491.52, 10,338.24 and 4,348 is: 6,000.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491.52 : 10,338.24 = 4,348 : x
  2. Step 2: Convert to fraction form
    7,491.52/10,338.24 = 4,348/x
  3. Step 3: Cross multiply
    7,491.52x = 10,338.24 × 4,348
  4. Step 4: Simplify right side
    7,491.52x = 44,950,667.52
  5. Step 5: Solve for x
    x = 44,950,667.52/7,491.52
  6. Step 6: Final answer
    x = 6,000.21

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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.