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Finding the Fourth Proportional to 10,156.14, 15,225.06 and 3,581.16

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Solution

The fourth proportional to 10,156.14, 15,225.06 and 3,581.16 is: 5,368.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,156.14 : 15,225.06 = 3,581.16 : x
  2. Step 2: Convert to fraction form
    10,156.14/15,225.06 = 3,581.16/x
  3. Step 3: Cross multiply
    10,156.14x = 15,225.06 × 3,581.16
  4. Step 4: Simplify right side
    10,156.14x = 54,523,375.87
  5. Step 5: Solve for x
    x = 54,523,375.87/10,156.14
  6. Step 6: Final answer
    x = 5,368.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.