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Finding the Fourth Proportional to 7,348.40, 10,129.92 and 5,220.80

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Solution

The fourth proportional to 7,348.40, 10,129.92 and 5,220.80 is: 7,196.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.40 : 10,129.92 = 5,220.80 : x
  2. Step 2: Convert to fraction form
    7,348.40/10,129.92 = 5,220.80/x
  3. Step 3: Cross multiply
    7,348.40x = 10,129.92 × 5,220.80
  4. Step 4: Simplify right side
    7,348.40x = 52,886,286.34
  5. Step 5: Solve for x
    x = 52,886,286.34/7,348.40
  6. Step 6: Final answer
    x = 7,196.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.