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Finding the Fourth Proportional to 10,523.87, 15,788.23 and 3,128.16

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Solution

The fourth proportional to 10,523.87, 15,788.23 and 3,128.16 is: 4,692.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.87 : 15,788.23 = 3,128.16 : x
  2. Step 2: Convert to fraction form
    10,523.87/15,788.23 = 3,128.16/x
  3. Step 3: Cross multiply
    10,523.87x = 15,788.23 × 3,128.16
  4. Step 4: Simplify right side
    10,523.87x = 49,388,101.74
  5. Step 5: Solve for x
    x = 49,388,101.74/10,523.87
  6. Step 6: Final answer
    x = 4,692.96

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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.