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Finding the Fourth Proportional to 11,463.69, 17,211.95 and 8,511.24

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Solution

The fourth proportional to 11,463.69, 17,211.95 and 8,511.24 is: 12,779.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.69 : 17,211.95 = 8,511.24 : x
  2. Step 2: Convert to fraction form
    11,463.69/17,211.95 = 8,511.24/x
  3. Step 3: Cross multiply
    11,463.69x = 17,211.95 × 8,511.24
  4. Step 4: Simplify right side
    11,463.69x = 146,495,037.32
  5. Step 5: Solve for x
    x = 146,495,037.32/11,463.69
  6. Step 6: Final answer
    x = 12,779.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.