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Finding the Fourth Proportional to 8,686.85, 11,989.10 and 4,911.17

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Solution

The fourth proportional to 8,686.85, 11,989.10 and 4,911.17 is: 6,778.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,686.85 : 11,989.10 = 4,911.17 : x
  2. Step 2: Convert to fraction form
    8,686.85/11,989.10 = 4,911.17/x
  3. Step 3: Cross multiply
    8,686.85x = 11,989.10 × 4,911.17
  4. Step 4: Simplify right side
    8,686.85x = 58,880,483.69
  5. Step 5: Solve for x
    x = 58,880,483.69/8,686.85
  6. Step 6: Final answer
    x = 6,778.12

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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.