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Finding the Fourth Proportional to 10,344.96, 14,275.62 and 5,629.14

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Solution

The fourth proportional to 10,344.96, 14,275.62 and 5,629.14 is: 7,767.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.96 : 14,275.62 = 5,629.14 : x
  2. Step 2: Convert to fraction form
    10,344.96/14,275.62 = 5,629.14/x
  3. Step 3: Cross multiply
    10,344.96x = 14,275.62 × 5,629.14
  4. Step 4: Simplify right side
    10,344.96x = 80,359,463.57
  5. Step 5: Solve for x
    x = 80,359,463.57/10,344.96
  6. Step 6: Final answer
    x = 7,767.98

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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.