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Finding the Fourth Proportional to 10,622.75, 14,673.56 and 8,658.09

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Solution

The fourth proportional to 10,622.75, 14,673.56 and 8,658.09 is: 11,959.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622.75 : 14,673.56 = 8,658.09 : x
  2. Step 2: Convert to fraction form
    10,622.75/14,673.56 = 8,658.09/x
  3. Step 3: Cross multiply
    10,622.75x = 14,673.56 × 8,658.09
  4. Step 4: Simplify right side
    10,622.75x = 127,044,959.81
  5. Step 5: Solve for x
    x = 127,044,959.81/10,622.75
  6. Step 6: Final answer
    x = 11,959.71

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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.