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Finding the Fourth Proportional to 10,321.64, 14,242.88 and 5,844.52

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Solution

The fourth proportional to 10,321.64, 14,242.88 and 5,844.52 is: 8,064.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,321.64 : 14,242.88 = 5,844.52 : x
  2. Step 2: Convert to fraction form
    10,321.64/14,242.88 = 5,844.52/x
  3. Step 3: Cross multiply
    10,321.64x = 14,242.88 × 5,844.52
  4. Step 4: Simplify right side
    10,321.64x = 83,242,776.02
  5. Step 5: Solve for x
    x = 83,242,776.02/10,321.64
  6. Step 6: Final answer
    x = 8,064.88

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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.