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Finding the Fourth Proportional to 12,150.72, 16,772.16 and 7,116.56

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Solution

The fourth proportional to 12,150.72, 16,772.16 and 7,116.56 is: 9,823.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,150.72 : 16,772.16 = 7,116.56 : x
  2. Step 2: Convert to fraction form
    12,150.72/16,772.16 = 7,116.56/x
  3. Step 3: Cross multiply
    12,150.72x = 16,772.16 × 7,116.56
  4. Step 4: Simplify right side
    12,150.72x = 119,360,088.69
  5. Step 5: Solve for x
    x = 119,360,088.69/12,150.72
  6. Step 6: Final answer
    x = 9,823.29

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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.