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Finding the Fourth Proportional to 10,378.18, 14,321.82 and 5,901.93

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Solution

The fourth proportional to 10,378.18, 14,321.82 and 5,901.93 is: 8,144.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.18 : 14,321.82 = 5,901.93 : x
  2. Step 2: Convert to fraction form
    10,378.18/14,321.82 = 5,901.93/x
  3. Step 3: Cross multiply
    10,378.18x = 14,321.82 × 5,901.93
  4. Step 4: Simplify right side
    10,378.18x = 84,526,379.11
  5. Step 5: Solve for x
    x = 84,526,379.11/10,378.18
  6. Step 6: Final answer
    x = 8,144.62

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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.