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Finding the Fourth Proportional to 7,659.16, 11,474.13 and 5,189.74

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Solution

The fourth proportional to 7,659.16, 11,474.13 and 5,189.74 is: 7,774.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,659.16 : 11,474.13 = 5,189.74 : x
  2. Step 2: Convert to fraction form
    7,659.16/11,474.13 = 5,189.74/x
  3. Step 3: Cross multiply
    7,659.16x = 11,474.13 × 5,189.74
  4. Step 4: Simplify right side
    7,659.16x = 59,547,751.43
  5. Step 5: Solve for x
    x = 59,547,751.43/7,659.16
  6. Step 6: Final answer
    x = 7,774.71

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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.