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Finding the Fourth Proportional to 7,405.47, 11,117.97 and 6,794.19

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Solution

The fourth proportional to 7,405.47, 11,117.97 and 6,794.19 is: 10,200.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.47 : 11,117.97 = 6,794.19 : x
  2. Step 2: Convert to fraction form
    7,405.47/11,117.97 = 6,794.19/x
  3. Step 3: Cross multiply
    7,405.47x = 11,117.97 × 6,794.19
  4. Step 4: Simplify right side
    7,405.47x = 75,537,600.59
  5. Step 5: Solve for x
    x = 75,537,600.59/7,405.47
  6. Step 6: Final answer
    x = 10,200.24

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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.