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Finding the Fourth Proportional to 10,898.40, 16,353 and 4,324.44

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Solution

The fourth proportional to 10,898.40, 16,353 and 4,324.44 is: 6,488.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.40 : 16,353 = 4,324.44 : x
  2. Step 2: Convert to fraction form
    10,898.40/16,353 = 4,324.44/x
  3. Step 3: Cross multiply
    10,898.40x = 16,353 × 4,324.44
  4. Step 4: Simplify right side
    10,898.40x = 70,717,567.32
  5. Step 5: Solve for x
    x = 70,717,567.32/10,898.40
  6. Step 6: Final answer
    x = 6,488.80

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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.