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Finding the Fourth Proportional to 10,188.85, 15,214.29 and 8,085.24

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Solution

The fourth proportional to 10,188.85, 15,214.29 and 8,085.24 is: 12,073.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.85 : 15,214.29 = 8,085.24 : x
  2. Step 2: Convert to fraction form
    10,188.85/15,214.29 = 8,085.24/x
  3. Step 3: Cross multiply
    10,188.85x = 15,214.29 × 8,085.24
  4. Step 4: Simplify right side
    10,188.85x = 123,011,186.08
  5. Step 5: Solve for x
    x = 123,011,186.08/10,188.85
  6. Step 6: Final answer
    x = 12,073.12

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.