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Finding the Fourth Proportional to 10,523.74, 15,788.16 and 3,950

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Solution

The fourth proportional to 10,523.74, 15,788.16 and 3,950 is: 5,925.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.74 : 15,788.16 = 3,950 : x
  2. Step 2: Convert to fraction form
    10,523.74/15,788.16 = 3,950/x
  3. Step 3: Cross multiply
    10,523.74x = 15,788.16 × 3,950
  4. Step 4: Simplify right side
    10,523.74x = 62,363,232
  5. Step 5: Solve for x
    x = 62,363,232/10,523.74
  6. Step 6: Final answer
    x = 5,925.96

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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.