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Finding the Fourth Proportional to 8,449.47, 11,660.11 and 5,261.16

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Solution

The fourth proportional to 8,449.47, 11,660.11 and 5,261.16 is: 7,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,449.47 : 11,660.11 = 5,261.16 : x
  2. Step 2: Convert to fraction form
    8,449.47/11,660.11 = 5,261.16/x
  3. Step 3: Cross multiply
    8,449.47x = 11,660.11 × 5,261.16
  4. Step 4: Simplify right side
    8,449.47x = 61,345,681.21
  5. Step 5: Solve for x
    x = 61,345,681.21/8,449.47
  6. Step 6: Final answer
    x = 7,260.30

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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.