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Finding the Fourth Proportional to 10,511.66, 14,491.02 and 8,269.64

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Solution

The fourth proportional to 10,511.66, 14,491.02 and 8,269.64 is: 11,400.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.66 : 14,491.02 = 8,269.64 : x
  2. Step 2: Convert to fraction form
    10,511.66/14,491.02 = 8,269.64/x
  3. Step 3: Cross multiply
    10,511.66x = 14,491.02 × 8,269.64
  4. Step 4: Simplify right side
    10,511.66x = 119,835,534.19
  5. Step 5: Solve for x
    x = 119,835,534.19/10,511.66
  6. Step 6: Final answer
    x = 11,400.25

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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.