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Finding the Fourth Proportional to 10,644.93, 15,967.40 and 2,853.95

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Solution

The fourth proportional to 10,644.93, 15,967.40 and 2,853.95 is: 4,280.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.93 : 15,967.40 = 2,853.95 : x
  2. Step 2: Convert to fraction form
    10,644.93/15,967.40 = 2,853.95/x
  3. Step 3: Cross multiply
    10,644.93x = 15,967.40 × 2,853.95
  4. Step 4: Simplify right side
    10,644.93x = 45,570,067.12
  5. Step 5: Solve for x
    x = 45,570,067.12/10,644.93
  6. Step 6: Final answer
    x = 4,280.92

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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.