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Finding the Fourth Proportional to 10,033.48, 13,847.82 and 6,055.18

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Solution

The fourth proportional to 10,033.48, 13,847.82 and 6,055.18 is: 8,357.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.48 : 13,847.82 = 6,055.18 : x
  2. Step 2: Convert to fraction form
    10,033.48/13,847.82 = 6,055.18/x
  3. Step 3: Cross multiply
    10,033.48x = 13,847.82 × 6,055.18
  4. Step 4: Simplify right side
    10,033.48x = 83,851,042.71
  5. Step 5: Solve for x
    x = 83,851,042.71/10,033.48
  6. Step 6: Final answer
    x = 8,357.12

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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.