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Finding the Fourth Proportional to 8,534.74, 12,765.12 and 5,016.37

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Solution

The fourth proportional to 8,534.74, 12,765.12 and 5,016.37 is: 7,502.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.74 : 12,765.12 = 5,016.37 : x
  2. Step 2: Convert to fraction form
    8,534.74/12,765.12 = 5,016.37/x
  3. Step 3: Cross multiply
    8,534.74x = 12,765.12 × 5,016.37
  4. Step 4: Simplify right side
    8,534.74x = 64,034,565.01
  5. Step 5: Solve for x
    x = 64,034,565.01/8,534.74
  6. Step 6: Final answer
    x = 7,502.81

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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.