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Finding the Fourth Proportional to 8,225.40, 12,305.70 and 7,141.80

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Solution

The fourth proportional to 8,225.40, 12,305.70 and 7,141.80 is: 10,684.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,225.40 : 12,305.70 = 7,141.80 : x
  2. Step 2: Convert to fraction form
    8,225.40/12,305.70 = 7,141.80/x
  3. Step 3: Cross multiply
    8,225.40x = 12,305.70 × 7,141.80
  4. Step 4: Simplify right side
    8,225.40x = 87,884,848.26
  5. Step 5: Solve for x
    x = 87,884,848.26/8,225.40
  6. Step 6: Final answer
    x = 10,684.57

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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.