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Finding the Fourth Proportional to 8,309.16, 12,465 and 2,465.04

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Solution

The fourth proportional to 8,309.16, 12,465 and 2,465.04 is: 3,697.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.16 : 12,465 = 2,465.04 : x
  2. Step 2: Convert to fraction form
    8,309.16/12,465 = 2,465.04/x
  3. Step 3: Cross multiply
    8,309.16x = 12,465 × 2,465.04
  4. Step 4: Simplify right side
    8,309.16x = 30,726,723.60
  5. Step 5: Solve for x
    x = 30,726,723.60/8,309.16
  6. Step 6: Final answer
    x = 3,697.93

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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.