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Finding the Fourth Proportional to 7,801.89, 11,699.24 and 3,117.95

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Solution

The fourth proportional to 7,801.89, 11,699.24 and 3,117.95 is: 4,675.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,801.89 : 11,699.24 = 3,117.95 : x
  2. Step 2: Convert to fraction form
    7,801.89/11,699.24 = 3,117.95/x
  3. Step 3: Cross multiply
    7,801.89x = 11,699.24 × 3,117.95
  4. Step 4: Simplify right side
    7,801.89x = 36,477,645.36
  5. Step 5: Solve for x
    x = 36,477,645.36/7,801.89
  6. Step 6: Final answer
    x = 4,675.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.