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Finding the Fourth Proportional to 11,165.11, 15,407.30 and 6,449.11

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Solution

The fourth proportional to 11,165.11, 15,407.30 and 6,449.11 is: 8,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.11 : 15,407.30 = 6,449.11 : x
  2. Step 2: Convert to fraction form
    11,165.11/15,407.30 = 6,449.11/x
  3. Step 3: Cross multiply
    11,165.11x = 15,407.30 × 6,449.11
  4. Step 4: Simplify right side
    11,165.11x = 99,363,340.26
  5. Step 5: Solve for x
    x = 99,363,340.26/11,165.11
  6. Step 6: Final answer
    x = 8,899.45

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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.