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Finding the Fourth Proportional to 7,117.67, 10,655.75 and 4,147.05

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Solution

The fourth proportional to 7,117.67, 10,655.75 and 4,147.05 is: 6,208.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,117.67 : 10,655.75 = 4,147.05 : x
  2. Step 2: Convert to fraction form
    7,117.67/10,655.75 = 4,147.05/x
  3. Step 3: Cross multiply
    7,117.67x = 10,655.75 × 4,147.05
  4. Step 4: Simplify right side
    7,117.67x = 44,189,918.43
  5. Step 5: Solve for x
    x = 44,189,918.43/7,117.67
  6. Step 6: Final answer
    x = 6,208.48

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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.