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Finding the Fourth Proportional to 8,511.83, 12,775.47 and 4,354.71

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Solution

The fourth proportional to 8,511.83, 12,775.47 and 4,354.71 is: 6,536.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.83 : 12,775.47 = 4,354.71 : x
  2. Step 2: Convert to fraction form
    8,511.83/12,775.47 = 4,354.71/x
  3. Step 3: Cross multiply
    8,511.83x = 12,775.47 × 4,354.71
  4. Step 4: Simplify right side
    8,511.83x = 55,633,466.96
  5. Step 5: Solve for x
    x = 55,633,466.96/8,511.83
  6. Step 6: Final answer
    x = 6,536.02

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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.