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Finding the Fourth Proportional to 10,314.84, 14,234.49 and 5,599.14

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Solution

The fourth proportional to 10,314.84, 14,234.49 and 5,599.14 is: 7,726.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,314.84 : 14,234.49 = 5,599.14 : x
  2. Step 2: Convert to fraction form
    10,314.84/14,234.49 = 5,599.14/x
  3. Step 3: Cross multiply
    10,314.84x = 14,234.49 × 5,599.14
  4. Step 4: Simplify right side
    10,314.84x = 79,700,902.34
  5. Step 5: Solve for x
    x = 79,700,902.34/10,314.84
  6. Step 6: Final answer
    x = 7,726.82

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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.