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Finding the Fourth Proportional to 10,658.24, 14,708.08 and 6,181.71

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Solution

The fourth proportional to 10,658.24, 14,708.08 and 6,181.71 is: 8,530.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.24 : 14,708.08 = 6,181.71 : x
  2. Step 2: Convert to fraction form
    10,658.24/14,708.08 = 6,181.71/x
  3. Step 3: Cross multiply
    10,658.24x = 14,708.08 × 6,181.71
  4. Step 4: Simplify right side
    10,658.24x = 90,921,054.31
  5. Step 5: Solve for x
    x = 90,921,054.31/10,658.24
  6. Step 6: Final answer
    x = 8,530.59

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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.