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Finding the Fourth Proportional to 10,036.54, 13,847.04 and 8,046.40

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Solution

The fourth proportional to 10,036.54, 13,847.04 and 8,046.40 is: 11,101.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.54 : 13,847.04 = 8,046.40 : x
  2. Step 2: Convert to fraction form
    10,036.54/13,847.04 = 8,046.40/x
  3. Step 3: Cross multiply
    10,036.54x = 13,847.04 × 8,046.40
  4. Step 4: Simplify right side
    10,036.54x = 111,418,822.66
  5. Step 5: Solve for x
    x = 111,418,822.66/10,036.54
  6. Step 6: Final answer
    x = 11,101.32

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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.