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Finding the Fourth Proportional to 8,672, 11,967.37 and 4,693.10

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Solution

The fourth proportional to 8,672, 11,967.37 and 4,693.10 is: 6,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,672 : 11,967.37 = 4,693.10 : x
  2. Step 2: Convert to fraction form
    8,672/11,967.37 = 4,693.10/x
  3. Step 3: Cross multiply
    8,672x = 11,967.37 × 4,693.10
  4. Step 4: Simplify right side
    8,672x = 56,164,064.15
  5. Step 5: Solve for x
    x = 56,164,064.15/8,672
  6. Step 6: Final answer
    x = 6,476.48

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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.