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Finding the Fourth Proportional to 10,511.61, 15,745.86 and 8,420.28

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Solution

The fourth proportional to 10,511.61, 15,745.86 and 8,420.28 is: 12,613.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,511.61 : 15,745.86 = 8,420.28 : x
  2. Step 2: Convert to fraction form
    10,511.61/15,745.86 = 8,420.28/x
  3. Step 3: Cross multiply
    10,511.61x = 15,745.86 × 8,420.28
  4. Step 4: Simplify right side
    10,511.61x = 132,584,550.04
  5. Step 5: Solve for x
    x = 132,584,550.04/10,511.61
  6. Step 6: Final answer
    x = 12,613.15

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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.