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Finding the Fourth Proportional to 10,406.53, 14,358.23 and 5,930.18

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Solution

The fourth proportional to 10,406.53, 14,358.23 and 5,930.18 is: 8,182.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,406.53 : 14,358.23 = 5,930.18 : x
  2. Step 2: Convert to fraction form
    10,406.53/14,358.23 = 5,930.18/x
  3. Step 3: Cross multiply
    10,406.53x = 14,358.23 × 5,930.18
  4. Step 4: Simplify right side
    10,406.53x = 85,146,939.10
  5. Step 5: Solve for x
    x = 85,146,939.10/10,406.53
  6. Step 6: Final answer
    x = 8,182.07

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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.