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Finding the Fourth Proportional to 10,981, 15,154.16 and 6,013

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Solution

The fourth proportional to 10,981, 15,154.16 and 6,013 is: 8,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,981 : 15,154.16 = 6,013 : x
  2. Step 2: Convert to fraction form
    10,981/15,154.16 = 6,013/x
  3. Step 3: Cross multiply
    10,981x = 15,154.16 × 6,013
  4. Step 4: Simplify right side
    10,981x = 91,121,964.08
  5. Step 5: Solve for x
    x = 91,121,964.08/10,981
  6. Step 6: Final answer
    x = 8,298.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.