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Finding the Fourth Proportional to 7,458.60, 11,171.70 and 6,637.80

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Solution

The fourth proportional to 7,458.60, 11,171.70 and 6,637.80 is: 9,942.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,458.60 : 11,171.70 = 6,637.80 : x
  2. Step 2: Convert to fraction form
    7,458.60/11,171.70 = 6,637.80/x
  3. Step 3: Cross multiply
    7,458.60x = 11,171.70 × 6,637.80
  4. Step 4: Simplify right side
    7,458.60x = 74,155,510.26
  5. Step 5: Solve for x
    x = 74,155,510.26/7,458.60
  6. Step 6: Final answer
    x = 9,942.28

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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.