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Finding the Fourth Proportional to 11,165.66, 15,409.98 and 6,449.94

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Solution

The fourth proportional to 11,165.66, 15,409.98 and 6,449.94 is: 8,901.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.66 : 15,409.98 = 6,449.94 : x
  2. Step 2: Convert to fraction form
    11,165.66/15,409.98 = 6,449.94/x
  3. Step 3: Cross multiply
    11,165.66x = 15,409.98 × 6,449.94
  4. Step 4: Simplify right side
    11,165.66x = 99,393,454.47
  5. Step 5: Solve for x
    x = 99,393,454.47/11,165.66
  6. Step 6: Final answer
    x = 8,901.71

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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.