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Finding the Fourth Proportional to 10,809.42, 14,915.01 and 6,333.24

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Solution

The fourth proportional to 10,809.42, 14,915.01 and 6,333.24 is: 8,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,809.42 : 14,915.01 = 6,333.24 : x
  2. Step 2: Convert to fraction form
    10,809.42/14,915.01 = 6,333.24/x
  3. Step 3: Cross multiply
    10,809.42x = 14,915.01 × 6,333.24
  4. Step 4: Simplify right side
    10,809.42x = 94,460,337.93
  5. Step 5: Solve for x
    x = 94,460,337.93/10,809.42
  6. Step 6: Final answer
    x = 8,738.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.