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Finding the Fourth Proportional to 8,911, 12,296.98 and 4,932.16

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Solution

The fourth proportional to 8,911, 12,296.98 and 4,932.16 is: 6,806.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911 : 12,296.98 = 4,932.16 : x
  2. Step 2: Convert to fraction form
    8,911/12,296.98 = 4,932.16/x
  3. Step 3: Cross multiply
    8,911x = 12,296.98 × 4,932.16
  4. Step 4: Simplify right side
    8,911x = 60,650,672.88
  5. Step 5: Solve for x
    x = 60,650,672.88/8,911
  6. Step 6: Final answer
    x = 6,806.27

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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.