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Finding the Fourth Proportional to 8,633.88, 12,956.42 and 4,741

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Solution

The fourth proportional to 8,633.88, 12,956.42 and 4,741 is: 7,114.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.88 : 12,956.42 = 4,741 : x
  2. Step 2: Convert to fraction form
    8,633.88/12,956.42 = 4,741/x
  3. Step 3: Cross multiply
    8,633.88x = 12,956.42 × 4,741
  4. Step 4: Simplify right side
    8,633.88x = 61,426,387.22
  5. Step 5: Solve for x
    x = 61,426,387.22/8,633.88
  6. Step 6: Final answer
    x = 7,114.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.