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Finding the Fourth Proportional to 8,467.90, 11,684.70 and 4,931.74

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Solution

The fourth proportional to 8,467.90, 11,684.70 and 4,931.74 is: 6,805.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.90 : 11,684.70 = 4,931.74 : x
  2. Step 2: Convert to fraction form
    8,467.90/11,684.70 = 4,931.74/x
  3. Step 3: Cross multiply
    8,467.90x = 11,684.70 × 4,931.74
  4. Step 4: Simplify right side
    8,467.90x = 57,625,902.38
  5. Step 5: Solve for x
    x = 57,625,902.38/8,467.90
  6. Step 6: Final answer
    x = 6,805.22

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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.