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Finding the Fourth Proportional to 8,731.49, 12,051.32 and 5,747.58

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Solution

The fourth proportional to 8,731.49, 12,051.32 and 5,747.58 is: 7,932.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,731.49 : 12,051.32 = 5,747.58 : x
  2. Step 2: Convert to fraction form
    8,731.49/12,051.32 = 5,747.58/x
  3. Step 3: Cross multiply
    8,731.49x = 12,051.32 × 5,747.58
  4. Step 4: Simplify right side
    8,731.49x = 69,265,897.07
  5. Step 5: Solve for x
    x = 69,265,897.07/8,731.49
  6. Step 6: Final answer
    x = 7,932.89

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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.