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Finding the Fourth Proportional to 10,610.64, 14,638.32 and 6,833.16

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Solution

The fourth proportional to 10,610.64, 14,638.32 and 6,833.16 is: 9,426.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,610.64 : 14,638.32 = 6,833.16 : x
  2. Step 2: Convert to fraction form
    10,610.64/14,638.32 = 6,833.16/x
  3. Step 3: Cross multiply
    10,610.64x = 14,638.32 × 6,833.16
  4. Step 4: Simplify right side
    10,610.64x = 100,025,982.69
  5. Step 5: Solve for x
    x = 100,025,982.69/10,610.64
  6. Step 6: Final answer
    x = 9,426.95

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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.