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Finding the Fourth Proportional to 10,344.91, 14,275.95 and 5,629.18

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Solution

The fourth proportional to 10,344.91, 14,275.95 and 5,629.18 is: 7,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.91 : 14,275.95 = 5,629.18 : x
  2. Step 2: Convert to fraction form
    10,344.91/14,275.95 = 5,629.18/x
  3. Step 3: Cross multiply
    10,344.91x = 14,275.95 × 5,629.18
  4. Step 4: Simplify right side
    10,344.91x = 80,361,892.22
  5. Step 5: Solve for x
    x = 80,361,892.22/10,344.91
  6. Step 6: Final answer
    x = 7,768.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.