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Finding the Fourth Proportional to 10,830.66, 16,243.65 and 6,324.71

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Solution

The fourth proportional to 10,830.66, 16,243.65 and 6,324.71 is: 9,485.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,830.66 : 16,243.65 = 6,324.71 : x
  2. Step 2: Convert to fraction form
    10,830.66/16,243.65 = 6,324.71/x
  3. Step 3: Cross multiply
    10,830.66x = 16,243.65 × 6,324.71
  4. Step 4: Simplify right side
    10,830.66x = 102,736,294.37
  5. Step 5: Solve for x
    x = 102,736,294.37/10,830.66
  6. Step 6: Final answer
    x = 9,485.69

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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.