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Finding the Fourth Proportional to 8,294, 11,445.72 and 4,568.24

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Solution

The fourth proportional to 8,294, 11,445.72 and 4,568.24 is: 6,304.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294 : 11,445.72 = 4,568.24 : x
  2. Step 2: Convert to fraction form
    8,294/11,445.72 = 4,568.24/x
  3. Step 3: Cross multiply
    8,294x = 11,445.72 × 4,568.24
  4. Step 4: Simplify right side
    8,294x = 52,286,795.93
  5. Step 5: Solve for x
    x = 52,286,795.93/8,294
  6. Step 6: Final answer
    x = 6,304.17

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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.