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Finding the Fourth Proportional to 8,429.66, 12,644.63 and 4,264.64

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Solution

The fourth proportional to 8,429.66, 12,644.63 and 4,264.64 is: 6,397.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,429.66 : 12,644.63 = 4,264.64 : x
  2. Step 2: Convert to fraction form
    8,429.66/12,644.63 = 4,264.64/x
  3. Step 3: Cross multiply
    8,429.66x = 12,644.63 × 4,264.64
  4. Step 4: Simplify right side
    8,429.66x = 53,924,710.34
  5. Step 5: Solve for x
    x = 53,924,710.34/8,429.66
  6. Step 6: Final answer
    x = 6,397.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.