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Finding the Fourth Proportional to 8,911, 12,296.70 and 4,931.92

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Solution

The fourth proportional to 8,911, 12,296.70 and 4,931.92 is: 6,805.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911 : 12,296.70 = 4,931.92 : x
  2. Step 2: Convert to fraction form
    8,911/12,296.70 = 4,931.92/x
  3. Step 3: Cross multiply
    8,911x = 12,296.70 × 4,931.92
  4. Step 4: Simplify right side
    8,911x = 60,646,340.66
  5. Step 5: Solve for x
    x = 60,646,340.66/8,911
  6. Step 6: Final answer
    x = 6,805.78

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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.