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Finding the Fourth Proportional to 7,146.53, 10,721.71 and 2,985.15

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Solution

The fourth proportional to 7,146.53, 10,721.71 and 2,985.15 is: 4,478.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.53 : 10,721.71 = 2,985.15 : x
  2. Step 2: Convert to fraction form
    7,146.53/10,721.71 = 2,985.15/x
  3. Step 3: Cross multiply
    7,146.53x = 10,721.71 × 2,985.15
  4. Step 4: Simplify right side
    7,146.53x = 32,005,912.61
  5. Step 5: Solve for x
    x = 32,005,912.61/7,146.53
  6. Step 6: Final answer
    x = 4,478.53

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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.