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Finding the Fourth Proportional to 10,898.41, 16,364.01 and 6,223.69

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Solution

The fourth proportional to 10,898.41, 16,364.01 and 6,223.69 is: 9,344.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,898.41 : 16,364.01 = 6,223.69 : x
  2. Step 2: Convert to fraction form
    10,898.41/16,364.01 = 6,223.69/x
  3. Step 3: Cross multiply
    10,898.41x = 16,364.01 × 6,223.69
  4. Step 4: Simplify right side
    10,898.41x = 101,844,494.28
  5. Step 5: Solve for x
    x = 101,844,494.28/10,898.41
  6. Step 6: Final answer
    x = 9,344.90

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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.