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Finding the Fourth Proportional to 7,111.76, 10,667.62 and 2,494.76

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Solution

The fourth proportional to 7,111.76, 10,667.62 and 2,494.76 is: 3,742.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,111.76 : 10,667.62 = 2,494.76 : x
  2. Step 2: Convert to fraction form
    7,111.76/10,667.62 = 2,494.76/x
  3. Step 3: Cross multiply
    7,111.76x = 10,667.62 × 2,494.76
  4. Step 4: Simplify right side
    7,111.76x = 26,613,151.67
  5. Step 5: Solve for x
    x = 26,613,151.67/7,111.76
  6. Step 6: Final answer
    x = 3,742.13

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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.