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Finding the Fourth Proportional to 10,048.84, 15,082.52 and 5,122

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Solution

The fourth proportional to 10,048.84, 15,082.52 and 5,122 is: 7,687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,048.84 : 15,082.52 = 5,122 : x
  2. Step 2: Convert to fraction form
    10,048.84/15,082.52 = 5,122/x
  3. Step 3: Cross multiply
    10,048.84x = 15,082.52 × 5,122
  4. Step 4: Simplify right side
    10,048.84x = 77,252,667.44
  5. Step 5: Solve for x
    x = 77,252,667.44/10,048.84
  6. Step 6: Final answer
    x = 7,687.72

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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.