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Finding the Fourth Proportional to 10,344.80, 14,275.77 and 5,629.16

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Solution

The fourth proportional to 10,344.80, 14,275.77 and 5,629.16 is: 7,768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.80 : 14,275.77 = 5,629.16 : x
  2. Step 2: Convert to fraction form
    10,344.80/14,275.77 = 5,629.16/x
  3. Step 3: Cross multiply
    10,344.80x = 14,275.77 × 5,629.16
  4. Step 4: Simplify right side
    10,344.80x = 80,360,522.07
  5. Step 5: Solve for x
    x = 80,360,522.07/10,344.80
  6. Step 6: Final answer
    x = 7,768.21

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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.