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Finding the Fourth Proportional to 10,082.34, 15,126 and 3,508.60

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Solution

The fourth proportional to 10,082.34, 15,126 and 3,508.60 is: 5,263.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.34 : 15,126 = 3,508.60 : x
  2. Step 2: Convert to fraction form
    10,082.34/15,126 = 3,508.60/x
  3. Step 3: Cross multiply
    10,082.34x = 15,126 × 3,508.60
  4. Step 4: Simplify right side
    10,082.34x = 53,071,083.60
  5. Step 5: Solve for x
    x = 53,071,083.60/10,082.34
  6. Step 6: Final answer
    x = 5,263.77

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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.