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Finding the Fourth Proportional to 10,513.50, 14,508.84 and 6,793.98

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Solution

The fourth proportional to 10,513.50, 14,508.84 and 6,793.98 is: 9,375.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,513.50 : 14,508.84 = 6,793.98 : x
  2. Step 2: Convert to fraction form
    10,513.50/14,508.84 = 6,793.98/x
  3. Step 3: Cross multiply
    10,513.50x = 14,508.84 × 6,793.98
  4. Step 4: Simplify right side
    10,513.50x = 98,572,768.78
  5. Step 5: Solve for x
    x = 98,572,768.78/10,513.50
  6. Step 6: Final answer
    x = 9,375.83

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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.