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Finding the Fourth Proportional to 10,311.84, 14,229.47 and 6,063.05

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Solution

The fourth proportional to 10,311.84, 14,229.47 and 6,063.05 is: 8,366.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,311.84 : 14,229.47 = 6,063.05 : x
  2. Step 2: Convert to fraction form
    10,311.84/14,229.47 = 6,063.05/x
  3. Step 3: Cross multiply
    10,311.84x = 14,229.47 × 6,063.05
  4. Step 4: Simplify right side
    10,311.84x = 86,274,038.81
  5. Step 5: Solve for x
    x = 86,274,038.81/10,311.84
  6. Step 6: Final answer
    x = 8,366.50

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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.