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Finding the Fourth Proportional to 10,085.85, 15,126.73 and 9,585.70

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Solution

The fourth proportional to 10,085.85, 15,126.73 and 9,585.70 is: 14,376.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,085.85 : 15,126.73 = 9,585.70 : x
  2. Step 2: Convert to fraction form
    10,085.85/15,126.73 = 9,585.70/x
  3. Step 3: Cross multiply
    10,085.85x = 15,126.73 × 9,585.70
  4. Step 4: Simplify right side
    10,085.85x = 145,000,295.76
  5. Step 5: Solve for x
    x = 145,000,295.76/10,085.85
  6. Step 6: Final answer
    x = 14,376.61

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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.