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Finding the Fourth Proportional to 7,794.85, 11,688.12 and 3,407.17

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Solution

The fourth proportional to 7,794.85, 11,688.12 and 3,407.17 is: 5,108.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.85 : 11,688.12 = 3,407.17 : x
  2. Step 2: Convert to fraction form
    7,794.85/11,688.12 = 3,407.17/x
  3. Step 3: Cross multiply
    7,794.85x = 11,688.12 × 3,407.17
  4. Step 4: Simplify right side
    7,794.85x = 39,823,411.82
  5. Step 5: Solve for x
    x = 39,823,411.82/7,794.85
  6. Step 6: Final answer
    x = 5,108.94

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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.