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Finding the Fourth Proportional to 8,511.90, 11,746.65 and 5,154

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Solution

The fourth proportional to 8,511.90, 11,746.65 and 5,154 is: 7,112.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,511.90 : 11,746.65 = 5,154 : x
  2. Step 2: Convert to fraction form
    8,511.90/11,746.65 = 5,154/x
  3. Step 3: Cross multiply
    8,511.90x = 11,746.65 × 5,154
  4. Step 4: Simplify right side
    8,511.90x = 60,542,234.10
  5. Step 5: Solve for x
    x = 60,542,234.10/8,511.90
  6. Step 6: Final answer
    x = 7,112.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.