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Finding the Fourth Proportional to 10,379.48, 14,324.94 and 5,904.32

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Solution

The fourth proportional to 10,379.48, 14,324.94 and 5,904.32 is: 8,148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.48 : 14,324.94 = 5,904.32 : x
  2. Step 2: Convert to fraction form
    10,379.48/14,324.94 = 5,904.32/x
  3. Step 3: Cross multiply
    10,379.48x = 14,324.94 × 5,904.32
  4. Step 4: Simplify right side
    10,379.48x = 84,579,029.74
  5. Step 5: Solve for x
    x = 84,579,029.74/10,379.48
  6. Step 6: Final answer
    x = 8,148.68

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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.