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Finding the Fourth Proportional to 10,576.60, 14,578.77 and 8,334.76

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Solution

The fourth proportional to 10,576.60, 14,578.77 and 8,334.76 is: 11,488.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,576.60 : 14,578.77 = 8,334.76 : x
  2. Step 2: Convert to fraction form
    10,576.60/14,578.77 = 8,334.76/x
  3. Step 3: Cross multiply
    10,576.60x = 14,578.77 × 8,334.76
  4. Step 4: Simplify right side
    10,576.60x = 121,510,549.05
  5. Step 5: Solve for x
    x = 121,510,549.05/10,576.60
  6. Step 6: Final answer
    x = 11,488.62

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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.