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Finding the Fourth Proportional to 5,162.12, 7,117.08 and 4,217

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Solution

The fourth proportional to 5,162.12, 7,117.08 and 4,217 is: 5,814.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.12 : 7,117.08 = 4,217 : x
  2. Step 2: Convert to fraction form
    5,162.12/7,117.08 = 4,217/x
  3. Step 3: Cross multiply
    5,162.12x = 7,117.08 × 4,217
  4. Step 4: Simplify right side
    5,162.12x = 30,012,726.36
  5. Step 5: Solve for x
    x = 30,012,726.36/5,162.12
  6. Step 6: Final answer
    x = 5,814.03

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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.