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Finding the Fourth Proportional to 10,000.98, 13,801.32 and 5,752.86

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Solution

The fourth proportional to 10,000.98, 13,801.32 and 5,752.86 is: 7,938.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.98 : 13,801.32 = 5,752.86 : x
  2. Step 2: Convert to fraction form
    10,000.98/13,801.32 = 5,752.86/x
  3. Step 3: Cross multiply
    10,000.98x = 13,801.32 × 5,752.86
  4. Step 4: Simplify right side
    10,000.98x = 79,397,010.02
  5. Step 5: Solve for x
    x = 79,397,010.02/10,000.98
  6. Step 6: Final answer
    x = 7,938.93

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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.