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Finding the Fourth Proportional to 7,148.46, 9,863.18 and 4,162.50

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Solution

The fourth proportional to 7,148.46, 9,863.18 and 4,162.50 is: 5,743.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,148.46 : 9,863.18 = 4,162.50 : x
  2. Step 2: Convert to fraction form
    7,148.46/9,863.18 = 4,162.50/x
  3. Step 3: Cross multiply
    7,148.46x = 9,863.18 × 4,162.50
  4. Step 4: Simplify right side
    7,148.46x = 41,055,486.75
  5. Step 5: Solve for x
    x = 41,055,486.75/7,148.46
  6. Step 6: Final answer
    x = 5,743.26

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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.