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Finding the Fourth Proportional to 8,425.32, 11,626.29 and 4,648.20

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Solution

The fourth proportional to 8,425.32, 11,626.29 and 4,648.20 is: 6,414.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,425.32 : 11,626.29 = 4,648.20 : x
  2. Step 2: Convert to fraction form
    8,425.32/11,626.29 = 4,648.20/x
  3. Step 3: Cross multiply
    8,425.32x = 11,626.29 × 4,648.20
  4. Step 4: Simplify right side
    8,425.32x = 54,041,321.18
  5. Step 5: Solve for x
    x = 54,041,321.18/8,425.32
  6. Step 6: Final answer
    x = 6,414.16

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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.