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Finding the Fourth Proportional to 10,423.56, 14,389.02 and 6,231

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Solution

The fourth proportional to 10,423.56, 14,389.02 and 6,231 is: 8,601.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,423.56 : 14,389.02 = 6,231 : x
  2. Step 2: Convert to fraction form
    10,423.56/14,389.02 = 6,231/x
  3. Step 3: Cross multiply
    10,423.56x = 14,389.02 × 6,231
  4. Step 4: Simplify right side
    10,423.56x = 89,657,983.62
  5. Step 5: Solve for x
    x = 89,657,983.62/10,423.56
  6. Step 6: Final answer
    x = 8,601.47

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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.