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Finding the Fourth Proportional to 10,333.62, 15,502.86 and 3,217.50

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Solution

The fourth proportional to 10,333.62, 15,502.86 and 3,217.50 is: 4,827.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,333.62 : 15,502.86 = 3,217.50 : x
  2. Step 2: Convert to fraction form
    10,333.62/15,502.86 = 3,217.50/x
  3. Step 3: Cross multiply
    10,333.62x = 15,502.86 × 3,217.50
  4. Step 4: Simplify right side
    10,333.62x = 49,880,452.05
  5. Step 5: Solve for x
    x = 49,880,452.05/10,333.62
  6. Step 6: Final answer
    x = 4,827.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.