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Finding the Fourth Proportional to 10,963.12, 16,443.04 and 4,036

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Solution

The fourth proportional to 10,963.12, 16,443.04 and 4,036 is: 6,053.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,963.12 : 16,443.04 = 4,036 : x
  2. Step 2: Convert to fraction form
    10,963.12/16,443.04 = 4,036/x
  3. Step 3: Cross multiply
    10,963.12x = 16,443.04 × 4,036
  4. Step 4: Simplify right side
    10,963.12x = 66,364,109.44
  5. Step 5: Solve for x
    x = 66,364,109.44/10,963.12
  6. Step 6: Final answer
    x = 6,053.40

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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.