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Finding the Fourth Proportional to 10,082.96, 15,125.88 and 3,158

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Solution

The fourth proportional to 10,082.96, 15,125.88 and 3,158 is: 4,737.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,082.96 : 15,125.88 = 3,158 : x
  2. Step 2: Convert to fraction form
    10,082.96/15,125.88 = 3,158/x
  3. Step 3: Cross multiply
    10,082.96x = 15,125.88 × 3,158
  4. Step 4: Simplify right side
    10,082.96x = 47,767,529.04
  5. Step 5: Solve for x
    x = 47,767,529.04/10,082.96
  6. Step 6: Final answer
    x = 4,737.45

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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.