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Finding the Fourth Proportional to 10,963.30, 16,447.35 and 5,419.30

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Solution

The fourth proportional to 10,963.30, 16,447.35 and 5,419.30 is: 8,130.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.30 : 16,447.35 = 5,419.30 : x
  2. Step 2: Convert to fraction form
    10,963.30/16,447.35 = 5,419.30/x
  3. Step 3: Cross multiply
    10,963.30x = 16,447.35 × 5,419.30
  4. Step 4: Simplify right side
    10,963.30x = 89,133,123.86
  5. Step 5: Solve for x
    x = 89,133,123.86/10,963.30
  6. Step 6: Final answer
    x = 8,130.14

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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.