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Finding the Fourth Proportional to 7,838.72, 10,798.64 and 6,716.08

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Solution

The fourth proportional to 7,838.72, 10,798.64 and 6,716.08 is: 9,252.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.72 : 10,798.64 = 6,716.08 : x
  2. Step 2: Convert to fraction form
    7,838.72/10,798.64 = 6,716.08/x
  3. Step 3: Cross multiply
    7,838.72x = 10,798.64 × 6,716.08
  4. Step 4: Simplify right side
    7,838.72x = 72,524,530.13
  5. Step 5: Solve for x
    x = 72,524,530.13/7,838.72
  6. Step 6: Final answer
    x = 9,252.09

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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.