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Finding the Fourth Proportional to 12,397.29, 18,594.16 and 4,077.64

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Solution

The fourth proportional to 12,397.29, 18,594.16 and 4,077.64 is: 6,115.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,397.29 : 18,594.16 = 4,077.64 : x
  2. Step 2: Convert to fraction form
    12,397.29/18,594.16 = 4,077.64/x
  3. Step 3: Cross multiply
    12,397.29x = 18,594.16 × 4,077.64
  4. Step 4: Simplify right side
    12,397.29x = 75,820,303.63
  5. Step 5: Solve for x
    x = 75,820,303.63/12,397.29
  6. Step 6: Final answer
    x = 6,115.88

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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.