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Finding the Fourth Proportional to 6,963.86, 10,443.69 and 2,032.17

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Solution

The fourth proportional to 6,963.86, 10,443.69 and 2,032.17 is: 3,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963.86 : 10,443.69 = 2,032.17 : x
  2. Step 2: Convert to fraction form
    6,963.86/10,443.69 = 2,032.17/x
  3. Step 3: Cross multiply
    6,963.86x = 10,443.69 × 2,032.17
  4. Step 4: Simplify right side
    6,963.86x = 21,223,353.51
  5. Step 5: Solve for x
    x = 21,223,353.51/6,963.86
  6. Step 6: Final answer
    x = 3,047.64

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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.