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Finding the Fourth Proportional to 11,655.60, 17,488.80 and 6,115.20

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Solution

The fourth proportional to 11,655.60, 17,488.80 and 6,115.20 is: 9,175.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.60 : 17,488.80 = 6,115.20 : x
  2. Step 2: Convert to fraction form
    11,655.60/17,488.80 = 6,115.20/x
  3. Step 3: Cross multiply
    11,655.60x = 17,488.80 × 6,115.20
  4. Step 4: Simplify right side
    11,655.60x = 106,947,509.76
  5. Step 5: Solve for x
    x = 106,947,509.76/11,655.60
  6. Step 6: Final answer
    x = 9,175.63

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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.