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Finding the Fourth Proportional to 10,348.75, 15,523.53 and 4,111.75

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Solution

The fourth proportional to 10,348.75, 15,523.53 and 4,111.75 is: 6,167.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,348.75 : 15,523.53 = 4,111.75 : x
  2. Step 2: Convert to fraction form
    10,348.75/15,523.53 = 4,111.75/x
  3. Step 3: Cross multiply
    10,348.75x = 15,523.53 × 4,111.75
  4. Step 4: Simplify right side
    10,348.75x = 63,828,874.48
  5. Step 5: Solve for x
    x = 63,828,874.48/10,348.75
  6. Step 6: Final answer
    x = 6,167.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.