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Finding the Fourth Proportional to 7,874.83, 10,866.76 and 4,338.02

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Solution

The fourth proportional to 7,874.83, 10,866.76 and 4,338.02 is: 5,986.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,874.83 : 10,866.76 = 4,338.02 : x
  2. Step 2: Convert to fraction form
    7,874.83/10,866.76 = 4,338.02/x
  3. Step 3: Cross multiply
    7,874.83x = 10,866.76 × 4,338.02
  4. Step 4: Simplify right side
    7,874.83x = 47,140,222.22
  5. Step 5: Solve for x
    x = 47,140,222.22/7,874.83
  6. Step 6: Final answer
    x = 5,986.19

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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.