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Finding the Fourth Proportional to 7,637.60, 11,434.80 and 6,773.60

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Solution

The fourth proportional to 7,637.60, 11,434.80 and 6,773.60 is: 10,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,637.60 : 11,434.80 = 6,773.60 : x
  2. Step 2: Convert to fraction form
    7,637.60/11,434.80 = 6,773.60/x
  3. Step 3: Cross multiply
    7,637.60x = 11,434.80 × 6,773.60
  4. Step 4: Simplify right side
    7,637.60x = 77,454,761.28
  5. Step 5: Solve for x
    x = 77,454,761.28/7,637.60
  6. Step 6: Final answer
    x = 10,141.24

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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.