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Finding the Fourth Proportional to 7,119.65, 10,667.16 and 5,538.86

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Solution

The fourth proportional to 7,119.65, 10,667.16 and 5,538.86 is: 8,298.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.65 : 10,667.16 = 5,538.86 : x
  2. Step 2: Convert to fraction form
    7,119.65/10,667.16 = 5,538.86/x
  3. Step 3: Cross multiply
    7,119.65x = 10,667.16 × 5,538.86
  4. Step 4: Simplify right side
    7,119.65x = 59,083,905.84
  5. Step 5: Solve for x
    x = 59,083,905.84/7,119.65
  6. Step 6: Final answer
    x = 8,298.71

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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.