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Finding the Fourth Proportional to 10,371.32, 15,560.82 and 4,827.64

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Solution

The fourth proportional to 10,371.32, 15,560.82 and 4,827.64 is: 7,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,371.32 : 15,560.82 = 4,827.64 : x
  2. Step 2: Convert to fraction form
    10,371.32/15,560.82 = 4,827.64/x
  3. Step 3: Cross multiply
    10,371.32x = 15,560.82 × 4,827.64
  4. Step 4: Simplify right side
    10,371.32x = 75,122,037.06
  5. Step 5: Solve for x
    x = 75,122,037.06/10,371.32
  6. Step 6: Final answer
    x = 7,243.25

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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.