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Finding the Fourth Proportional to 10,760.77, 14,849.94 and 6,284.71

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Solution

The fourth proportional to 10,760.77, 14,849.94 and 6,284.71 is: 8,672.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,760.77 : 14,849.94 = 6,284.71 : x
  2. Step 2: Convert to fraction form
    10,760.77/14,849.94 = 6,284.71/x
  3. Step 3: Cross multiply
    10,760.77x = 14,849.94 × 6,284.71
  4. Step 4: Simplify right side
    10,760.77x = 93,327,566.42
  5. Step 5: Solve for x
    x = 93,327,566.42/10,760.77
  6. Step 6: Final answer
    x = 8,672.95

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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.