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Finding the Fourth Proportional to 10,406.67, 14,359.53 and 5,930.52

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Solution

The fourth proportional to 10,406.67, 14,359.53 and 5,930.52 is: 8,183.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.67 : 14,359.53 = 5,930.52 : x
  2. Step 2: Convert to fraction form
    10,406.67/14,359.53 = 5,930.52/x
  3. Step 3: Cross multiply
    10,406.67x = 14,359.53 × 5,930.52
  4. Step 4: Simplify right side
    10,406.67x = 85,159,479.86
  5. Step 5: Solve for x
    x = 85,159,479.86/10,406.67
  6. Step 6: Final answer
    x = 8,183.16

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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.