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Finding the Fourth Proportional to 10,313.68, 15,468.04 and 4,761.69

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Solution

The fourth proportional to 10,313.68, 15,468.04 and 4,761.69 is: 7,141.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.68 : 15,468.04 = 4,761.69 : x
  2. Step 2: Convert to fraction form
    10,313.68/15,468.04 = 4,761.69/x
  3. Step 3: Cross multiply
    10,313.68x = 15,468.04 × 4,761.69
  4. Step 4: Simplify right side
    10,313.68x = 73,654,011.39
  5. Step 5: Solve for x
    x = 73,654,011.39/10,313.68
  6. Step 6: Final answer
    x = 7,141.39

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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.