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Finding the Fourth Proportional to 8,124.34, 12,184.08 and 2,929

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Solution

The fourth proportional to 8,124.34, 12,184.08 and 2,929 is: 4,392.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,124.34 : 12,184.08 = 2,929 : x
  2. Step 2: Convert to fraction form
    8,124.34/12,184.08 = 2,929/x
  3. Step 3: Cross multiply
    8,124.34x = 12,184.08 × 2,929
  4. Step 4: Simplify right side
    8,124.34x = 35,687,170.32
  5. Step 5: Solve for x
    x = 35,687,170.32/8,124.34
  6. Step 6: Final answer
    x = 4,392.62

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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.