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Finding the Fourth Proportional to 10,366.71, 14,306.06 and 5,890.46

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Solution

The fourth proportional to 10,366.71, 14,306.06 and 5,890.46 is: 8,128.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,366.71 : 14,306.06 = 5,890.46 : x
  2. Step 2: Convert to fraction form
    10,366.71/14,306.06 = 5,890.46/x
  3. Step 3: Cross multiply
    10,366.71x = 14,306.06 × 5,890.46
  4. Step 4: Simplify right side
    10,366.71x = 84,269,274.19
  5. Step 5: Solve for x
    x = 84,269,274.19/10,366.71
  6. Step 6: Final answer
    x = 8,128.83

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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.