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Finding the Fourth Proportional to 10,344.88, 14,276.19 and 5,629.42

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Solution

The fourth proportional to 10,344.88, 14,276.19 and 5,629.42 is: 7,768.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.88 : 14,276.19 = 5,629.42 : x
  2. Step 2: Convert to fraction form
    10,344.88/14,276.19 = 5,629.42/x
  3. Step 3: Cross multiply
    10,344.88x = 14,276.19 × 5,629.42
  4. Step 4: Simplify right side
    10,344.88x = 80,366,669.51
  5. Step 5: Solve for x
    x = 80,366,669.51/10,344.88
  6. Step 6: Final answer
    x = 7,768.74

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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.