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Finding the Fourth Proportional to 8,423.35, 11,624.28 and 4,646.65

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Solution

The fourth proportional to 8,423.35, 11,624.28 and 4,646.65 is: 6,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.35 : 11,624.28 = 4,646.65 : x
  2. Step 2: Convert to fraction form
    8,423.35/11,624.28 = 4,646.65/x
  3. Step 3: Cross multiply
    8,423.35x = 11,624.28 × 4,646.65
  4. Step 4: Simplify right side
    8,423.35x = 54,013,960.66
  5. Step 5: Solve for x
    x = 54,013,960.66/8,423.35
  6. Step 6: Final answer
    x = 6,412.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.