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Finding the Fourth Proportional to 11,499.49, 15,868.94 and 6,463.59

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Solution

The fourth proportional to 11,499.49, 15,868.94 and 6,463.59 is: 8,919.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.49 : 15,868.94 = 6,463.59 : x
  2. Step 2: Convert to fraction form
    11,499.49/15,868.94 = 6,463.59/x
  3. Step 3: Cross multiply
    11,499.49x = 15,868.94 × 6,463.59
  4. Step 4: Simplify right side
    11,499.49x = 102,570,321.89
  5. Step 5: Solve for x
    x = 102,570,321.89/11,499.49
  6. Step 6: Final answer
    x = 8,919.55

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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.