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Finding the Fourth Proportional to 10,082.59, 15,085.86 and 9,059.44

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Solution

The fourth proportional to 10,082.59, 15,085.86 and 9,059.44 is: 13,554.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.59 : 15,085.86 = 9,059.44 : x
  2. Step 2: Convert to fraction form
    10,082.59/15,085.86 = 9,059.44/x
  3. Step 3: Cross multiply
    10,082.59x = 15,085.86 × 9,059.44
  4. Step 4: Simplify right side
    10,082.59x = 136,669,443.52
  5. Step 5: Solve for x
    x = 136,669,443.52/10,082.59
  6. Step 6: Final answer
    x = 13,554.99

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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.