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Finding the Fourth Proportional to 5,411.70, 8,117.55 and 5,109.30

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Solution

The fourth proportional to 5,411.70, 8,117.55 and 5,109.30 is: 7,663.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.70 : 8,117.55 = 5,109.30 : x
  2. Step 2: Convert to fraction form
    5,411.70/8,117.55 = 5,109.30/x
  3. Step 3: Cross multiply
    5,411.70x = 8,117.55 × 5,109.30
  4. Step 4: Simplify right side
    5,411.70x = 41,474,998.22
  5. Step 5: Solve for x
    x = 41,474,998.22/5,411.70
  6. Step 6: Final answer
    x = 7,663.95

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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.