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Finding the Fourth Proportional to 10,605.24, 15,907.84 and 5,924.44

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Solution

The fourth proportional to 10,605.24, 15,907.84 and 5,924.44 is: 8,886.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.24 : 15,907.84 = 5,924.44 : x
  2. Step 2: Convert to fraction form
    10,605.24/15,907.84 = 5,924.44/x
  3. Step 3: Cross multiply
    10,605.24x = 15,907.84 × 5,924.44
  4. Step 4: Simplify right side
    10,605.24x = 94,245,043.61
  5. Step 5: Solve for x
    x = 94,245,043.61/10,605.24
  6. Step 6: Final answer
    x = 8,886.65

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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.