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Finding the Fourth Proportional to 10,054.26, 15,082.76 and 5,839.49

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Solution

The fourth proportional to 10,054.26, 15,082.76 and 5,839.49 is: 8,760.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.26 : 15,082.76 = 5,839.49 : x
  2. Step 2: Convert to fraction form
    10,054.26/15,082.76 = 5,839.49/x
  3. Step 3: Cross multiply
    10,054.26x = 15,082.76 × 5,839.49
  4. Step 4: Simplify right side
    10,054.26x = 88,075,678.50
  5. Step 5: Solve for x
    x = 88,075,678.50/10,054.26
  6. Step 6: Final answer
    x = 8,760.04

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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.