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Finding the Fourth Proportional to 10,321.12, 14,243.04 and 5,844.86

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Solution

The fourth proportional to 10,321.12, 14,243.04 and 5,844.86 is: 8,065.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.12 : 14,243.04 = 5,844.86 : x
  2. Step 2: Convert to fraction form
    10,321.12/14,243.04 = 5,844.86/x
  3. Step 3: Cross multiply
    10,321.12x = 14,243.04 × 5,844.86
  4. Step 4: Simplify right side
    10,321.12x = 83,248,574.77
  5. Step 5: Solve for x
    x = 83,248,574.77/10,321.12
  6. Step 6: Final answer
    x = 8,065.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.