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Finding the Fourth Proportional to 8,321.12, 11,488.52 and 6,429.40

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Solution

The fourth proportional to 8,321.12, 11,488.52 and 6,429.40 is: 8,876.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,321.12 : 11,488.52 = 6,429.40 : x
  2. Step 2: Convert to fraction form
    8,321.12/11,488.52 = 6,429.40/x
  3. Step 3: Cross multiply
    8,321.12x = 11,488.52 × 6,429.40
  4. Step 4: Simplify right side
    8,321.12x = 73,864,290.49
  5. Step 5: Solve for x
    x = 73,864,290.49/8,321.12
  6. Step 6: Final answer
    x = 8,876.72

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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.