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Finding the Fourth Proportional to 8,478.24, 12,710.48 and 7,321.97

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Solution

The fourth proportional to 8,478.24, 12,710.48 and 7,321.97 is: 10,977.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,478.24 : 12,710.48 = 7,321.97 : x
  2. Step 2: Convert to fraction form
    8,478.24/12,710.48 = 7,321.97/x
  3. Step 3: Cross multiply
    8,478.24x = 12,710.48 × 7,321.97
  4. Step 4: Simplify right side
    8,478.24x = 93,065,653.08
  5. Step 5: Solve for x
    x = 93,065,653.08/8,478.24
  6. Step 6: Final answer
    x = 10,977.00

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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.