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Finding the Fourth Proportional to 10,344.76, 14,273.34 and 5,867.48

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Solution

The fourth proportional to 10,344.76, 14,273.34 and 5,867.48 is: 8,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.76 : 14,273.34 = 5,867.48 : x
  2. Step 2: Convert to fraction form
    10,344.76/14,273.34 = 5,867.48/x
  3. Step 3: Cross multiply
    10,344.76x = 14,273.34 × 5,867.48
  4. Step 4: Simplify right side
    10,344.76x = 83,748,536.98
  5. Step 5: Solve for x
    x = 83,748,536.98/10,344.76
  6. Step 6: Final answer
    x = 8,095.74

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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.