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Finding the Fourth Proportional to 7,716.96, 10,649.60 and 4,731.08

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Solution

The fourth proportional to 7,716.96, 10,649.60 and 4,731.08 is: 6,529.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.96 : 10,649.60 = 4,731.08 : x
  2. Step 2: Convert to fraction form
    7,716.96/10,649.60 = 4,731.08/x
  3. Step 3: Cross multiply
    7,716.96x = 10,649.60 × 4,731.08
  4. Step 4: Simplify right side
    7,716.96x = 50,384,109.57
  5. Step 5: Solve for x
    x = 50,384,109.57/7,716.96
  6. Step 6: Final answer
    x = 6,529.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.