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Finding the Fourth Proportional to 8,275.36, 12,420.33 and 6,977.74

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Solution

The fourth proportional to 8,275.36, 12,420.33 and 6,977.74 is: 10,472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,275.36 : 12,420.33 = 6,977.74 : x
  2. Step 2: Convert to fraction form
    8,275.36/12,420.33 = 6,977.74/x
  3. Step 3: Cross multiply
    8,275.36x = 12,420.33 × 6,977.74
  4. Step 4: Simplify right side
    8,275.36x = 86,665,833.45
  5. Step 5: Solve for x
    x = 86,665,833.45/8,275.36
  6. Step 6: Final answer
    x = 10,472.76

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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.