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Finding the Fourth Proportional to 11,213.76, 15,457.86 and 7,229.78

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Solution

The fourth proportional to 11,213.76, 15,457.86 and 7,229.78 is: 9,966.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,213.76 : 15,457.86 = 7,229.78 : x
  2. Step 2: Convert to fraction form
    11,213.76/15,457.86 = 7,229.78/x
  3. Step 3: Cross multiply
    11,213.76x = 15,457.86 × 7,229.78
  4. Step 4: Simplify right side
    11,213.76x = 111,756,854.11
  5. Step 5: Solve for x
    x = 111,756,854.11/11,213.76
  6. Step 6: Final answer
    x = 9,966.05

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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.