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Finding the Fourth Proportional to 11,499.10, 15,868.90 and 6,463.03

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Solution

The fourth proportional to 11,499.10, 15,868.90 and 6,463.03 is: 8,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.10 : 15,868.90 = 6,463.03 : x
  2. Step 2: Convert to fraction form
    11,499.10/15,868.90 = 6,463.03/x
  3. Step 3: Cross multiply
    11,499.10x = 15,868.90 × 6,463.03
  4. Step 4: Simplify right side
    11,499.10x = 102,561,176.77
  5. Step 5: Solve for x
    x = 102,561,176.77/11,499.10
  6. Step 6: Final answer
    x = 8,919.06

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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.