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Finding the Fourth Proportional to 10,217.50, 15,297 and 6,924.74

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Solution

The fourth proportional to 10,217.50, 15,297 and 6,924.74 is: 10,367.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,217.50 : 15,297 = 6,924.74 : x
  2. Step 2: Convert to fraction form
    10,217.50/15,297 = 6,924.74/x
  3. Step 3: Cross multiply
    10,217.50x = 15,297 × 6,924.74
  4. Step 4: Simplify right side
    10,217.50x = 105,927,747.78
  5. Step 5: Solve for x
    x = 105,927,747.78/10,217.50
  6. Step 6: Final answer
    x = 10,367.29

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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.