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Finding the Fourth Proportional to 8,364.62, 11,543.38 and 4,587.94

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Solution

The fourth proportional to 8,364.62, 11,543.38 and 4,587.94 is: 6,331.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,364.62 : 11,543.38 = 4,587.94 : x
  2. Step 2: Convert to fraction form
    8,364.62/11,543.38 = 4,587.94/x
  3. Step 3: Cross multiply
    8,364.62x = 11,543.38 × 4,587.94
  4. Step 4: Simplify right side
    8,364.62x = 52,960,334.84
  5. Step 5: Solve for x
    x = 52,960,334.84/8,364.62
  6. Step 6: Final answer
    x = 6,331.47

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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.