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Finding the Fourth Proportional to 8,220.23, 11,341.19 and 4,634.74

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Solution

The fourth proportional to 8,220.23, 11,341.19 and 4,634.74 is: 6,394.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,220.23 : 11,341.19 = 4,634.74 : x
  2. Step 2: Convert to fraction form
    8,220.23/11,341.19 = 4,634.74/x
  3. Step 3: Cross multiply
    8,220.23x = 11,341.19 × 4,634.74
  4. Step 4: Simplify right side
    8,220.23x = 52,563,428.91
  5. Step 5: Solve for x
    x = 52,563,428.91/8,220.23
  6. Step 6: Final answer
    x = 6,394.40

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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.