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Finding the Fourth Proportional to 10,344.95, 14,276.33 and 5,629.53

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Solution

The fourth proportional to 10,344.95, 14,276.33 and 5,629.53 is: 7,768.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.95 : 14,276.33 = 5,629.53 : x
  2. Step 2: Convert to fraction form
    10,344.95/14,276.33 = 5,629.53/x
  3. Step 3: Cross multiply
    10,344.95x = 14,276.33 × 5,629.53
  4. Step 4: Simplify right side
    10,344.95x = 80,368,999.88
  5. Step 5: Solve for x
    x = 80,368,999.88/10,344.95
  6. Step 6: Final answer
    x = 7,768.92

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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.