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Finding the Fourth Proportional to 10,378.30, 14,321.06 and 5,901.80

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Solution

The fourth proportional to 10,378.30, 14,321.06 and 5,901.80 is: 8,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,378.30 : 14,321.06 = 5,901.80 : x
  2. Step 2: Convert to fraction form
    10,378.30/14,321.06 = 5,901.80/x
  3. Step 3: Cross multiply
    10,378.30x = 14,321.06 × 5,901.80
  4. Step 4: Simplify right side
    10,378.30x = 84,520,031.91
  5. Step 5: Solve for x
    x = 84,520,031.91/10,378.30
  6. Step 6: Final answer
    x = 8,143.92

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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.