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Finding the Fourth Proportional to 7,491.92, 10,340.03 and 4,507.74

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Solution

The fourth proportional to 7,491.92, 10,340.03 and 4,507.74 is: 6,221.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491.92 : 10,340.03 = 4,507.74 : x
  2. Step 2: Convert to fraction form
    7,491.92/10,340.03 = 4,507.74/x
  3. Step 3: Cross multiply
    7,491.92x = 10,340.03 × 4,507.74
  4. Step 4: Simplify right side
    7,491.92x = 46,610,144.29
  5. Step 5: Solve for x
    x = 46,610,144.29/7,491.92
  6. Step 6: Final answer
    x = 6,221.39

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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.