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Finding the Fourth Proportional to 10,381.81, 15,572.16 and 5,111.57

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Solution

The fourth proportional to 10,381.81, 15,572.16 and 5,111.57 is: 7,667.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,381.81 : 15,572.16 = 5,111.57 : x
  2. Step 2: Convert to fraction form
    10,381.81/15,572.16 = 5,111.57/x
  3. Step 3: Cross multiply
    10,381.81x = 15,572.16 × 5,111.57
  4. Step 4: Simplify right side
    10,381.81x = 79,598,082.47
  5. Step 5: Solve for x
    x = 79,598,082.47/10,381.81
  6. Step 6: Final answer
    x = 7,667.07

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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.