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Finding the Fourth Proportional to 7,002.92, 10,495.02 and 3,712.52

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Solution

The fourth proportional to 7,002.92, 10,495.02 and 3,712.52 is: 5,563.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,002.92 : 10,495.02 = 3,712.52 : x
  2. Step 2: Convert to fraction form
    7,002.92/10,495.02 = 3,712.52/x
  3. Step 3: Cross multiply
    7,002.92x = 10,495.02 × 3,712.52
  4. Step 4: Simplify right side
    7,002.92x = 38,962,971.65
  5. Step 5: Solve for x
    x = 38,962,971.65/7,002.92
  6. Step 6: Final answer
    x = 5,563.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.