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Finding the Fourth Proportional to 7,348.71, 10,140.69 and 4,162.32

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Solution

The fourth proportional to 7,348.71, 10,140.69 and 4,162.32 is: 5,743.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,348.71 : 10,140.69 = 4,162.32 : x
  2. Step 2: Convert to fraction form
    7,348.71/10,140.69 = 4,162.32/x
  3. Step 3: Cross multiply
    7,348.71x = 10,140.69 × 4,162.32
  4. Step 4: Simplify right side
    7,348.71x = 42,208,822.15
  5. Step 5: Solve for x
    x = 42,208,822.15/7,348.71
  6. Step 6: Final answer
    x = 5,743.71

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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.