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Finding the Fourth Proportional to 10,344.87, 14,275.98 and 5,629.14

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Solution

The fourth proportional to 10,344.87, 14,275.98 and 5,629.14 is: 7,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.87 : 14,275.98 = 5,629.14 : x
  2. Step 2: Convert to fraction form
    10,344.87/14,275.98 = 5,629.14/x
  3. Step 3: Cross multiply
    10,344.87x = 14,275.98 × 5,629.14
  4. Step 4: Simplify right side
    10,344.87x = 80,361,490.06
  5. Step 5: Solve for x
    x = 80,361,490.06/10,344.87
  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.