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Finding the Fourth Proportional to 10,089.84, 13,930.07 and 6,318.62

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Solution

The fourth proportional to 10,089.84, 13,930.07 and 6,318.62 is: 8,723.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,089.84 : 13,930.07 = 6,318.62 : x
  2. Step 2: Convert to fraction form
    10,089.84/13,930.07 = 6,318.62/x
  3. Step 3: Cross multiply
    10,089.84x = 13,930.07 × 6,318.62
  4. Step 4: Simplify right side
    10,089.84x = 88,018,717.66
  5. Step 5: Solve for x
    x = 88,018,717.66/10,089.84
  6. Step 6: Final answer
    x = 8,723.50

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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.