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Finding the Fourth Proportional to 8,510.25, 12,765.29 and 3,319.77

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Solution

The fourth proportional to 8,510.25, 12,765.29 and 3,319.77 is: 4,979.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,510.25 : 12,765.29 = 3,319.77 : x
  2. Step 2: Convert to fraction form
    8,510.25/12,765.29 = 3,319.77/x
  3. Step 3: Cross multiply
    8,510.25x = 12,765.29 × 3,319.77
  4. Step 4: Simplify right side
    8,510.25x = 42,377,810.18
  5. Step 5: Solve for x
    x = 42,377,810.18/8,510.25
  6. Step 6: Final answer
    x = 4,979.62

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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.