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Finding the Fourth Proportional to 11,376.88, 17,077.47 and 6,456.13

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Solution

The fourth proportional to 11,376.88, 17,077.47 and 6,456.13 is: 9,691.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.88 : 17,077.47 = 6,456.13 : x
  2. Step 2: Convert to fraction form
    11,376.88/17,077.47 = 6,456.13/x
  3. Step 3: Cross multiply
    11,376.88x = 17,077.47 × 6,456.13
  4. Step 4: Simplify right side
    11,376.88x = 110,254,366.39
  5. Step 5: Solve for x
    x = 110,254,366.39/11,376.88
  6. Step 6: Final answer
    x = 9,691.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.