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Finding the Fourth Proportional to 10,658.49, 14,708.42 and 6,181.96

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Solution

The fourth proportional to 10,658.49, 14,708.42 and 6,181.96 is: 8,530.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.49 : 14,708.42 = 6,181.96 : x
  2. Step 2: Convert to fraction form
    10,658.49/14,708.42 = 6,181.96/x
  3. Step 3: Cross multiply
    10,658.49x = 14,708.42 × 6,181.96
  4. Step 4: Simplify right side
    10,658.49x = 90,926,864.10
  5. Step 5: Solve for x
    x = 90,926,864.10/10,658.49
  6. Step 6: Final answer
    x = 8,530.93

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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.