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Finding the Fourth Proportional to 8,911.77, 12,307.95 and 5,940.21

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Solution

The fourth proportional to 8,911.77, 12,307.95 and 5,940.21 is: 8,203.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.77 : 12,307.95 = 5,940.21 : x
  2. Step 2: Convert to fraction form
    8,911.77/12,307.95 = 5,940.21/x
  3. Step 3: Cross multiply
    8,911.77x = 12,307.95 × 5,940.21
  4. Step 4: Simplify right side
    8,911.77x = 73,111,807.67
  5. Step 5: Solve for x
    x = 73,111,807.67/8,911.77
  6. Step 6: Final answer
    x = 8,203.96

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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.