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Finding the Fourth Proportional to 8,190.60, 12,278.70 and 7,315.80

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Solution

The fourth proportional to 8,190.60, 12,278.70 and 7,315.80 is: 10,967.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,190.60 : 12,278.70 = 7,315.80 : x
  2. Step 2: Convert to fraction form
    8,190.60/12,278.70 = 7,315.80/x
  3. Step 3: Cross multiply
    8,190.60x = 12,278.70 × 7,315.80
  4. Step 4: Simplify right side
    8,190.60x = 89,828,513.46
  5. Step 5: Solve for x
    x = 89,828,513.46/8,190.60
  6. Step 6: Final answer
    x = 10,967.27

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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.