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Finding the Fourth Proportional to 10,379.20, 14,323.20 and 6,398.72

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Solution

The fourth proportional to 10,379.20, 14,323.20 and 6,398.72 is: 8,830.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,379.20 : 14,323.20 = 6,398.72 : x
  2. Step 2: Convert to fraction form
    10,379.20/14,323.20 = 6,398.72/x
  3. Step 3: Cross multiply
    10,379.20x = 14,323.20 × 6,398.72
  4. Step 4: Simplify right side
    10,379.20x = 91,650,146.30
  5. Step 5: Solve for x
    x = 91,650,146.30/10,379.20
  6. Step 6: Final answer
    x = 8,830.17

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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.