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Finding the Fourth Proportional to 7,807.66, 11,716.10 and 2,880.74

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Solution

The fourth proportional to 7,807.66, 11,716.10 and 2,880.74 is: 4,322.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.66 : 11,716.10 = 2,880.74 : x
  2. Step 2: Convert to fraction form
    7,807.66/11,716.10 = 2,880.74/x
  3. Step 3: Cross multiply
    7,807.66x = 11,716.10 × 2,880.74
  4. Step 4: Simplify right side
    7,807.66x = 33,751,037.91
  5. Step 5: Solve for x
    x = 33,751,037.91/7,807.66
  6. Step 6: Final answer
    x = 4,322.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.