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Finding the Fourth Proportional to 10,032.76, 13,847.62 and 5,843.40

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Solution

The fourth proportional to 10,032.76, 13,847.62 and 5,843.40 is: 8,065.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,032.76 : 13,847.62 = 5,843.40 : x
  2. Step 2: Convert to fraction form
    10,032.76/13,847.62 = 5,843.40/x
  3. Step 3: Cross multiply
    10,032.76x = 13,847.62 × 5,843.40
  4. Step 4: Simplify right side
    10,032.76x = 80,917,182.71
  5. Step 5: Solve for x
    x = 80,917,182.71/10,032.76
  6. Step 6: Final answer
    x = 8,065.30

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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.