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Finding the Fourth Proportional to 10,291.08, 14,201.19 and 5,752.98

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Solution

The fourth proportional to 10,291.08, 14,201.19 and 5,752.98 is: 7,938.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,291.08 : 14,201.19 = 5,752.98 : x
  2. Step 2: Convert to fraction form
    10,291.08/14,201.19 = 5,752.98/x
  3. Step 3: Cross multiply
    10,291.08x = 14,201.19 × 5,752.98
  4. Step 4: Simplify right side
    10,291.08x = 81,699,162.05
  5. Step 5: Solve for x
    x = 81,699,162.05/10,291.08
  6. Step 6: Final answer
    x = 7,938.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.