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Finding the Fourth Proportional to 8,577.94, 11,836.02 and 5,041.86

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Solution

The fourth proportional to 8,577.94, 11,836.02 and 5,041.86 is: 6,956.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,577.94 : 11,836.02 = 5,041.86 : x
  2. Step 2: Convert to fraction form
    8,577.94/11,836.02 = 5,041.86/x
  3. Step 3: Cross multiply
    8,577.94x = 11,836.02 × 5,041.86
  4. Step 4: Simplify right side
    8,577.94x = 59,675,555.80
  5. Step 5: Solve for x
    x = 59,675,555.80/8,577.94
  6. Step 6: Final answer
    x = 6,956.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.