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Finding the Fourth Proportional to 10,811.70, 14,917.23 and 8,576.10

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Solution

The fourth proportional to 10,811.70, 14,917.23 and 8,576.10 is: 11,832.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,811.70 : 14,917.23 = 8,576.10 : x
  2. Step 2: Convert to fraction form
    10,811.70/14,917.23 = 8,576.10/x
  3. Step 3: Cross multiply
    10,811.70x = 14,917.23 × 8,576.10
  4. Step 4: Simplify right side
    10,811.70x = 127,931,656.20
  5. Step 5: Solve for x
    x = 127,931,656.20/10,811.70
  6. Step 6: Final answer
    x = 11,832.70

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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.