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Finding the Fourth Proportional to 6,897.51, 10,338.15 and 3,191.91

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Solution

The fourth proportional to 6,897.51, 10,338.15 and 3,191.91 is: 4,784.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.51 : 10,338.15 = 3,191.91 : x
  2. Step 2: Convert to fraction form
    6,897.51/10,338.15 = 3,191.91/x
  3. Step 3: Cross multiply
    6,897.51x = 10,338.15 × 3,191.91
  4. Step 4: Simplify right side
    6,897.51x = 32,998,392.68
  5. Step 5: Solve for x
    x = 32,998,392.68/6,897.51
  6. Step 6: Final answer
    x = 4,784.11

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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.