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Finding the Fourth Proportional to 11,499.98, 15,871.65 and 6,464.61

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Solution

The fourth proportional to 11,499.98, 15,871.65 and 6,464.61 is: 8,922.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,499.98 : 15,871.65 = 6,464.61 : x
  2. Step 2: Convert to fraction form
    11,499.98/15,871.65 = 6,464.61/x
  3. Step 3: Cross multiply
    11,499.98x = 15,871.65 × 6,464.61
  4. Step 4: Simplify right side
    11,499.98x = 102,604,003.06
  5. Step 5: Solve for x
    x = 102,604,003.06/11,499.98
  6. Step 6: Final answer
    x = 8,922.11

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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.