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Finding the Fourth Proportional to 10,036.62, 13,853.64 and 5,790.54

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Solution

The fourth proportional to 10,036.62, 13,853.64 and 5,790.54 is: 7,992.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,036.62 : 13,853.64 = 5,790.54 : x
  2. Step 2: Convert to fraction form
    10,036.62/13,853.64 = 5,790.54/x
  3. Step 3: Cross multiply
    10,036.62x = 13,853.64 × 5,790.54
  4. Step 4: Simplify right side
    10,036.62x = 80,220,056.57
  5. Step 5: Solve for x
    x = 80,220,056.57/10,036.62
  6. Step 6: Final answer
    x = 7,992.74

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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.