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Finding the Fourth Proportional to 8,231.60, 12,347.40 and 7,329.46

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Solution

The fourth proportional to 8,231.60, 12,347.40 and 7,329.46 is: 10,994.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,231.60 : 12,347.40 = 7,329.46 : x
  2. Step 2: Convert to fraction form
    8,231.60/12,347.40 = 7,329.46/x
  3. Step 3: Cross multiply
    8,231.60x = 12,347.40 × 7,329.46
  4. Step 4: Simplify right side
    8,231.60x = 90,499,774.40
  5. Step 5: Solve for x
    x = 90,499,774.40/8,231.60
  6. Step 6: Final answer
    x = 10,994.19

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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.