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Finding the Fourth Proportional to 8,276.16, 11,437.47 and 6,781.71

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Solution

The fourth proportional to 8,276.16, 11,437.47 and 6,781.71 is: 9,372.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.16 : 11,437.47 = 6,781.71 : x
  2. Step 2: Convert to fraction form
    8,276.16/11,437.47 = 6,781.71/x
  3. Step 3: Cross multiply
    8,276.16x = 11,437.47 × 6,781.71
  4. Step 4: Simplify right side
    8,276.16x = 77,565,604.67
  5. Step 5: Solve for x
    x = 77,565,604.67/8,276.16
  6. Step 6: Final answer
    x = 9,372.17

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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.