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Finding the Fourth Proportional to 8,216.48, 12,323.76 and 2,060

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Solution

The fourth proportional to 8,216.48, 12,323.76 and 2,060 is: 3,089.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,216.48 : 12,323.76 = 2,060 : x
  2. Step 2: Convert to fraction form
    8,216.48/12,323.76 = 2,060/x
  3. Step 3: Cross multiply
    8,216.48x = 12,323.76 × 2,060
  4. Step 4: Simplify right side
    8,216.48x = 25,386,945.60
  5. Step 5: Solve for x
    x = 25,386,945.60/8,216.48
  6. Step 6: Final answer
    x = 3,089.76

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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.