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Finding the Fourth Proportional to 10,658.94, 14,709.03 and 6,682.25

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Solution

The fourth proportional to 10,658.94, 14,709.03 and 6,682.25 is: 9,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,658.94 : 14,709.03 = 6,682.25 : x
  2. Step 2: Convert to fraction form
    10,658.94/14,709.03 = 6,682.25/x
  3. Step 3: Cross multiply
    10,658.94x = 14,709.03 × 6,682.25
  4. Step 4: Simplify right side
    10,658.94x = 98,289,342.17
  5. Step 5: Solve for x
    x = 98,289,342.17/10,658.94
  6. Step 6: Final answer
    x = 9,221.31

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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.