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Finding the Fourth Proportional to 8,537.61, 11,781.45 and 4,761.17

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Solution

The fourth proportional to 8,537.61, 11,781.45 and 4,761.17 is: 6,570.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,537.61 : 11,781.45 = 4,761.17 : x
  2. Step 2: Convert to fraction form
    8,537.61/11,781.45 = 4,761.17/x
  3. Step 3: Cross multiply
    8,537.61x = 11,781.45 × 4,761.17
  4. Step 4: Simplify right side
    8,537.61x = 56,093,427.39
  5. Step 5: Solve for x
    x = 56,093,427.39/8,537.61
  6. Step 6: Final answer
    x = 6,570.16

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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.