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Finding the Fourth Proportional to 10,684.47, 16,036.68 and 5,423.22

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Solution

The fourth proportional to 10,684.47, 16,036.68 and 5,423.22 is: 8,139.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,684.47 : 16,036.68 = 5,423.22 : x
  2. Step 2: Convert to fraction form
    10,684.47/16,036.68 = 5,423.22/x
  3. Step 3: Cross multiply
    10,684.47x = 16,036.68 × 5,423.22
  4. Step 4: Simplify right side
    10,684.47x = 86,970,443.71
  5. Step 5: Solve for x
    x = 86,970,443.71/10,684.47
  6. Step 6: Final answer
    x = 8,139.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.