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Finding the Fourth Proportional to 7,149.13, 10,708.94 and 5,302.33

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Solution

The fourth proportional to 7,149.13, 10,708.94 and 5,302.33 is: 7,942.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,149.13 : 10,708.94 = 5,302.33 : x
  2. Step 2: Convert to fraction form
    7,149.13/10,708.94 = 5,302.33/x
  3. Step 3: Cross multiply
    7,149.13x = 10,708.94 × 5,302.33
  4. Step 4: Simplify right side
    7,149.13x = 56,782,307.32
  5. Step 5: Solve for x
    x = 56,782,307.32/7,149.13
  6. Step 6: Final answer
    x = 7,942.55

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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.