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Finding the Fourth Proportional to 8,309.29, 12,461.80 and 2,464.53

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Solution

The fourth proportional to 8,309.29, 12,461.80 and 2,464.53 is: 3,696.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.29 : 12,461.80 = 2,464.53 : x
  2. Step 2: Convert to fraction form
    8,309.29/12,461.80 = 2,464.53/x
  3. Step 3: Cross multiply
    8,309.29x = 12,461.80 × 2,464.53
  4. Step 4: Simplify right side
    8,309.29x = 30,712,479.95
  5. Step 5: Solve for x
    x = 30,712,479.95/8,309.29
  6. Step 6: Final answer
    x = 3,696.16

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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.