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Finding the Fourth Proportional to 11,970.76, 16,521.62 and 9,132.78

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Solution

The fourth proportional to 11,970.76, 16,521.62 and 9,132.78 is: 12,604.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.76 : 16,521.62 = 9,132.78 : x
  2. Step 2: Convert to fraction form
    11,970.76/16,521.62 = 9,132.78/x
  3. Step 3: Cross multiply
    11,970.76x = 16,521.62 × 9,132.78
  4. Step 4: Simplify right side
    11,970.76x = 150,888,320.70
  5. Step 5: Solve for x
    x = 150,888,320.70/11,970.76
  6. Step 6: Final answer
    x = 12,604.74

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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.