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Finding the Fourth Proportional to 10,897.44, 15,033.46 and 6,419.04

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Solution

The fourth proportional to 10,897.44, 15,033.46 and 6,419.04 is: 8,855.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,897.44 : 15,033.46 = 6,419.04 : x
  2. Step 2: Convert to fraction form
    10,897.44/15,033.46 = 6,419.04/x
  3. Step 3: Cross multiply
    10,897.44x = 15,033.46 × 6,419.04
  4. Step 4: Simplify right side
    10,897.44x = 96,500,381.08
  5. Step 5: Solve for x
    x = 96,500,381.08/10,897.44
  6. Step 6: Final answer
    x = 8,855.33

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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.