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Finding the Fourth Proportional to 10,342.64, 15,512.66 and 3,322.10

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Solution

The fourth proportional to 10,342.64, 15,512.66 and 3,322.10 is: 4,982.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,342.64 : 15,512.66 = 3,322.10 : x
  2. Step 2: Convert to fraction form
    10,342.64/15,512.66 = 3,322.10/x
  3. Step 3: Cross multiply
    10,342.64x = 15,512.66 × 3,322.10
  4. Step 4: Simplify right side
    10,342.64x = 51,534,607.79
  5. Step 5: Solve for x
    x = 51,534,607.79/10,342.64
  6. Step 6: Final answer
    x = 4,982.73

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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.