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Finding the Fourth Proportional to 6,827.19, 10,240.98 and 1,897.19

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Solution

The fourth proportional to 6,827.19, 10,240.98 and 1,897.19 is: 2,845.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,827.19 : 10,240.98 = 1,897.19 : x
  2. Step 2: Convert to fraction form
    6,827.19/10,240.98 = 1,897.19/x
  3. Step 3: Cross multiply
    6,827.19x = 10,240.98 × 1,897.19
  4. Step 4: Simplify right side
    6,827.19x = 19,429,084.85
  5. Step 5: Solve for x
    x = 19,429,084.85/6,827.19
  6. Step 6: Final answer
    x = 2,845.84

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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.