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Finding the Fourth Proportional to 10,508.69, 14,502.10 and 5,793.14

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Solution

The fourth proportional to 10,508.69, 14,502.10 and 5,793.14 is: 7,994.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.69 : 14,502.10 = 5,793.14 : x
  2. Step 2: Convert to fraction form
    10,508.69/14,502.10 = 5,793.14/x
  3. Step 3: Cross multiply
    10,508.69x = 14,502.10 × 5,793.14
  4. Step 4: Simplify right side
    10,508.69x = 84,012,608.60
  5. Step 5: Solve for x
    x = 84,012,608.60/10,508.69
  6. Step 6: Final answer
    x = 7,994.59

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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.