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Finding the Fourth Proportional to 7,046.80, 9,708.92 and 4,652.52

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Solution

The fourth proportional to 7,046.80, 9,708.92 and 4,652.52 is: 6,410.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,046.80 : 9,708.92 = 4,652.52 : x
  2. Step 2: Convert to fraction form
    7,046.80/9,708.92 = 4,652.52/x
  3. Step 3: Cross multiply
    7,046.80x = 9,708.92 × 4,652.52
  4. Step 4: Simplify right side
    7,046.80x = 45,170,944.48
  5. Step 5: Solve for x
    x = 45,170,944.48/7,046.80
  6. Step 6: Final answer
    x = 6,410.14

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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.