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Finding the Fourth Proportional to 8,526.68, 11,767.51 and 4,942.83

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Solution

The fourth proportional to 8,526.68, 11,767.51 and 4,942.83 is: 6,821.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.68 : 11,767.51 = 4,942.83 : x
  2. Step 2: Convert to fraction form
    8,526.68/11,767.51 = 4,942.83/x
  3. Step 3: Cross multiply
    8,526.68x = 11,767.51 × 4,942.83
  4. Step 4: Simplify right side
    8,526.68x = 58,164,801.45
  5. Step 5: Solve for x
    x = 58,164,801.45/8,526.68
  6. Step 6: Final answer
    x = 6,821.51

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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.