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Finding the Fourth Proportional to 6,897.76, 10,348.10 and 2,218.12

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Solution

The fourth proportional to 6,897.76, 10,348.10 and 2,218.12 is: 3,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.76 : 10,348.10 = 2,218.12 : x
  2. Step 2: Convert to fraction form
    6,897.76/10,348.10 = 2,218.12/x
  3. Step 3: Cross multiply
    6,897.76x = 10,348.10 × 2,218.12
  4. Step 4: Simplify right side
    6,897.76x = 22,953,333.12
  5. Step 5: Solve for x
    x = 22,953,333.12/6,897.76
  6. Step 6: Final answer
    x = 3,327.65

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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.