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Finding the Fourth Proportional to 10,566.61, 14,581.74 and 5,850.79

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Solution

The fourth proportional to 10,566.61, 14,581.74 and 5,850.79 is: 8,073.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,566.61 : 14,581.74 = 5,850.79 : x
  2. Step 2: Convert to fraction form
    10,566.61/14,581.74 = 5,850.79/x
  3. Step 3: Cross multiply
    10,566.61x = 14,581.74 × 5,850.79
  4. Step 4: Simplify right side
    10,566.61x = 85,314,687.66
  5. Step 5: Solve for x
    x = 85,314,687.66/10,566.61
  6. Step 6: Final answer
    x = 8,073.99

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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.