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Finding the Fourth Proportional to 10,433.97, 15,656.01 and 4,589.82

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Solution

The fourth proportional to 10,433.97, 15,656.01 and 4,589.82 is: 6,886.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,433.97 : 15,656.01 = 4,589.82 : x
  2. Step 2: Convert to fraction form
    10,433.97/15,656.01 = 4,589.82/x
  3. Step 3: Cross multiply
    10,433.97x = 15,656.01 × 4,589.82
  4. Step 4: Simplify right side
    10,433.97x = 71,858,267.82
  5. Step 5: Solve for x
    x = 71,858,267.82/10,433.97
  6. Step 6: Final answer
    x = 6,886.95

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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.