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Finding the Fourth Proportional to 8,534.62, 11,774.52 and 6,301.85

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Solution

The fourth proportional to 8,534.62, 11,774.52 and 6,301.85 is: 8,694.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.62 : 11,774.52 = 6,301.85 : x
  2. Step 2: Convert to fraction form
    8,534.62/11,774.52 = 6,301.85/x
  3. Step 3: Cross multiply
    8,534.62x = 11,774.52 × 6,301.85
  4. Step 4: Simplify right side
    8,534.62x = 74,201,288.30
  5. Step 5: Solve for x
    x = 74,201,288.30/8,534.62
  6. Step 6: Final answer
    x = 8,694.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.