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Finding the Fourth Proportional to 10,315, 14,234.96 and 5,599.27

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Solution

The fourth proportional to 10,315, 14,234.96 and 5,599.27 is: 7,727.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,315 : 14,234.96 = 5,599.27 : x
  2. Step 2: Convert to fraction form
    10,315/14,234.96 = 5,599.27/x
  3. Step 3: Cross multiply
    10,315x = 14,234.96 × 5,599.27
  4. Step 4: Simplify right side
    10,315x = 79,705,384.48
  5. Step 5: Solve for x
    x = 79,705,384.48/10,315
  6. Step 6: Final answer
    x = 7,727.13

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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.