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Finding the Fourth Proportional to 8,721.68, 12,037.48 and 5,577.76

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Solution

The fourth proportional to 8,721.68, 12,037.48 and 5,577.76 is: 7,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,721.68 : 12,037.48 = 5,577.76 : x
  2. Step 2: Convert to fraction form
    8,721.68/12,037.48 = 5,577.76/x
  3. Step 3: Cross multiply
    8,721.68x = 12,037.48 × 5,577.76
  4. Step 4: Simplify right side
    8,721.68x = 67,142,174.44
  5. Step 5: Solve for x
    x = 67,142,174.44/8,721.68
  6. Step 6: Final answer
    x = 7,698.31

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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.