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Finding the Fourth Proportional to 11,114.69, 15,337.77 and 6,335.67

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Solution

The fourth proportional to 11,114.69, 15,337.77 and 6,335.67 is: 8,742.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,114.69 : 15,337.77 = 6,335.67 : x
  2. Step 2: Convert to fraction form
    11,114.69/15,337.77 = 6,335.67/x
  3. Step 3: Cross multiply
    11,114.69x = 15,337.77 × 6,335.67
  4. Step 4: Simplify right side
    11,114.69x = 97,175,049.26
  5. Step 5: Solve for x
    x = 97,175,049.26/11,114.69
  6. Step 6: Final answer
    x = 8,742.94

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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.