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Finding the Fourth Proportional to 7,162.69, 10,748.28 and 3,875.71

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Solution

The fourth proportional to 7,162.69, 10,748.28 and 3,875.71 is: 5,815.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,162.69 : 10,748.28 = 3,875.71 : x
  2. Step 2: Convert to fraction form
    7,162.69/10,748.28 = 3,875.71/x
  3. Step 3: Cross multiply
    7,162.69x = 10,748.28 × 3,875.71
  4. Step 4: Simplify right side
    7,162.69x = 41,657,216.28
  5. Step 5: Solve for x
    x = 41,657,216.28/7,162.69
  6. Step 6: Final answer
    x = 5,815.86

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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.