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Finding the Fourth Proportional to 10,963.55, 16,465.12 and 10,084.45

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Solution

The fourth proportional to 10,963.55, 16,465.12 and 10,084.45 is: 15,144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.55 : 16,465.12 = 10,084.45 : x
  2. Step 2: Convert to fraction form
    10,963.55/16,465.12 = 10,084.45/x
  3. Step 3: Cross multiply
    10,963.55x = 16,465.12 × 10,084.45
  4. Step 4: Simplify right side
    10,963.55x = 166,041,700.61
  5. Step 5: Solve for x
    x = 166,041,700.61/10,963.55
  6. Step 6: Final answer
    x = 15,144.88

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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.