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Finding the Fourth Proportional to 11,801.30, 17,689.58 and 4,402.78

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Solution

The fourth proportional to 11,801.30, 17,689.58 and 4,402.78 is: 6,599.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.30 : 17,689.58 = 4,402.78 : x
  2. Step 2: Convert to fraction form
    11,801.30/17,689.58 = 4,402.78/x
  3. Step 3: Cross multiply
    11,801.30x = 17,689.58 × 4,402.78
  4. Step 4: Simplify right side
    11,801.30x = 77,883,329.03
  5. Step 5: Solve for x
    x = 77,883,329.03/11,801.30
  6. Step 6: Final answer
    x = 6,599.56

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