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Finding the Fourth Proportional to 8,264.22, 11,398.78 and 4,904.34

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Solution

The fourth proportional to 8,264.22, 11,398.78 and 4,904.34 is: 6,764.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,264.22 : 11,398.78 = 4,904.34 : x
  2. Step 2: Convert to fraction form
    8,264.22/11,398.78 = 4,904.34/x
  3. Step 3: Cross multiply
    8,264.22x = 11,398.78 × 4,904.34
  4. Step 4: Simplify right side
    8,264.22x = 55,903,492.71
  5. Step 5: Solve for x
    x = 55,903,492.71/8,264.22
  6. Step 6: Final answer
    x = 6,764.52

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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.