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Finding the Fourth Proportional to 8,309.31, 12,465.18 and 5,023.95

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Solution

The fourth proportional to 8,309.31, 12,465.18 and 5,023.95 is: 7,536.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.31 : 12,465.18 = 5,023.95 : x
  2. Step 2: Convert to fraction form
    8,309.31/12,465.18 = 5,023.95/x
  3. Step 3: Cross multiply
    8,309.31x = 12,465.18 × 5,023.95
  4. Step 4: Simplify right side
    8,309.31x = 62,624,441.06
  5. Step 5: Solve for x
    x = 62,624,441.06/8,309.31
  6. Step 6: Final answer
    x = 7,536.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.