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Finding the Fourth Proportional to 7,911, 10,917.18 and 4,767.84

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Solution

The fourth proportional to 7,911, 10,917.18 and 4,767.84 is: 6,579.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911 : 10,917.18 = 4,767.84 : x
  2. Step 2: Convert to fraction form
    7,911/10,917.18 = 4,767.84/x
  3. Step 3: Cross multiply
    7,911x = 10,917.18 × 4,767.84
  4. Step 4: Simplify right side
    7,911x = 52,051,367.49
  5. Step 5: Solve for x
    x = 52,051,367.49/7,911
  6. Step 6: Final answer
    x = 6,579.62

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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.