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Finding the Fourth Proportional to 5,411.07, 8,117.25 and 5,115.83

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Solution

The fourth proportional to 5,411.07, 8,117.25 and 5,115.83 is: 7,674.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,411.07 : 8,117.25 = 5,115.83 : x
  2. Step 2: Convert to fraction form
    5,411.07/8,117.25 = 5,115.83/x
  3. Step 3: Cross multiply
    5,411.07x = 8,117.25 × 5,115.83
  4. Step 4: Simplify right side
    5,411.07x = 41,526,440.07
  5. Step 5: Solve for x
    x = 41,526,440.07/5,411.07
  6. Step 6: Final answer
    x = 7,674.35

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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.