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Finding the Fourth Proportional to 10,153.89, 13,988.09 and 8,349.62

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Solution

The fourth proportional to 10,153.89, 13,988.09 and 8,349.62 is: 11,502.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,153.89 : 13,988.09 = 8,349.62 : x
  2. Step 2: Convert to fraction form
    10,153.89/13,988.09 = 8,349.62/x
  3. Step 3: Cross multiply
    10,153.89x = 13,988.09 × 8,349.62
  4. Step 4: Simplify right side
    10,153.89x = 116,795,186.96
  5. Step 5: Solve for x
    x = 116,795,186.96/10,153.89
  6. Step 6: Final answer
    x = 11,502.51

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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.