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Finding the Fourth Proportional to 8,177.04, 12,202.80 and 7,302.24

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Solution

The fourth proportional to 8,177.04, 12,202.80 and 7,302.24 is: 10,897.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,177.04 : 12,202.80 = 7,302.24 : x
  2. Step 2: Convert to fraction form
    8,177.04/12,202.80 = 7,302.24/x
  3. Step 3: Cross multiply
    8,177.04x = 12,202.80 × 7,302.24
  4. Step 4: Simplify right side
    8,177.04x = 89,107,774.27
  5. Step 5: Solve for x
    x = 89,107,774.27/8,177.04
  6. Step 6: Final answer
    x = 10,897.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.