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Finding the Fourth Proportional to 7,891.98, 10,891.71 and 5,899.08

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Solution

The fourth proportional to 7,891.98, 10,891.71 and 5,899.08 is: 8,141.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,891.98 : 10,891.71 = 5,899.08 : x
  2. Step 2: Convert to fraction form
    7,891.98/10,891.71 = 5,899.08/x
  3. Step 3: Cross multiply
    7,891.98x = 10,891.71 × 5,899.08
  4. Step 4: Simplify right side
    7,891.98x = 64,251,068.63
  5. Step 5: Solve for x
    x = 64,251,068.63/7,891.98
  6. Step 6: Final answer
    x = 8,141.31

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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.