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Finding the Fourth Proportional to 10,468.36, 15,715.87 and 6,786

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Solution

The fourth proportional to 10,468.36, 15,715.87 and 6,786 is: 10,187.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.36 : 15,715.87 = 6,786 : x
  2. Step 2: Convert to fraction form
    10,468.36/15,715.87 = 6,786/x
  3. Step 3: Cross multiply
    10,468.36x = 15,715.87 × 6,786
  4. Step 4: Simplify right side
    10,468.36x = 106,647,893.82
  5. Step 5: Solve for x
    x = 106,647,893.82/10,468.36
  6. Step 6: Final answer
    x = 10,187.64

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