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Finding the Fourth Proportional to 8,422.81, 11,623.19 and 4,646.05

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Solution

The fourth proportional to 8,422.81, 11,623.19 and 4,646.05 is: 6,411.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.81 : 11,623.19 = 4,646.05 : x
  2. Step 2: Convert to fraction form
    8,422.81/11,623.19 = 4,646.05/x
  3. Step 3: Cross multiply
    8,422.81x = 11,623.19 × 4,646.05
  4. Step 4: Simplify right side
    8,422.81x = 54,001,869.61
  5. Step 5: Solve for x
    x = 54,001,869.61/8,422.81
  6. Step 6: Final answer
    x = 6,411.39

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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.