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Finding the Fourth Proportional to 10,085.42, 15,131.22 and 5,158.52

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Solution

The fourth proportional to 10,085.42, 15,131.22 and 5,158.52 is: 7,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.42 : 15,131.22 = 5,158.52 : x
  2. Step 2: Convert to fraction form
    10,085.42/15,131.22 = 5,158.52/x
  3. Step 3: Cross multiply
    10,085.42x = 15,131.22 × 5,158.52
  4. Step 4: Simplify right side
    10,085.42x = 78,054,700.99
  5. Step 5: Solve for x
    x = 78,054,700.99/10,085.42
  6. Step 6: Final answer
    x = 7,739.36

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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.