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Finding the Fourth Proportional to 8,511.88, 11,746.65 and 5,155.30

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Solution

The fourth proportional to 8,511.88, 11,746.65 and 5,155.30 is: 7,114.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.88 : 11,746.65 = 5,155.30 : x
  2. Step 2: Convert to fraction form
    8,511.88/11,746.65 = 5,155.30/x
  3. Step 3: Cross multiply
    8,511.88x = 11,746.65 × 5,155.30
  4. Step 4: Simplify right side
    8,511.88x = 60,557,504.75
  5. Step 5: Solve for x
    x = 60,557,504.75/8,511.88
  6. Step 6: Final answer
    x = 7,114.47

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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.