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Finding the Fourth Proportional to 10,561.42, 14,573.48 and 6,086.62

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Solution

The fourth proportional to 10,561.42, 14,573.48 and 6,086.62 is: 8,398.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,561.42 : 14,573.48 = 6,086.62 : x
  2. Step 2: Convert to fraction form
    10,561.42/14,573.48 = 6,086.62/x
  3. Step 3: Cross multiply
    10,561.42x = 14,573.48 × 6,086.62
  4. Step 4: Simplify right side
    10,561.42x = 88,703,234.84
  5. Step 5: Solve for x
    x = 88,703,234.84/10,561.42
  6. Step 6: Final answer
    x = 8,398.80

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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.