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Finding the Fourth Proportional to 12,049.16, 16,612.56 and 7,793

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Solution

The fourth proportional to 12,049.16, 16,612.56 and 7,793 is: 10,744.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,049.16 : 16,612.56 = 7,793 : x
  2. Step 2: Convert to fraction form
    12,049.16/16,612.56 = 7,793/x
  3. Step 3: Cross multiply
    12,049.16x = 16,612.56 × 7,793
  4. Step 4: Simplify right side
    12,049.16x = 129,461,680.08
  5. Step 5: Solve for x
    x = 129,461,680.08/12,049.16
  6. Step 6: Final answer
    x = 10,744.46

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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.