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Finding the Fourth Proportional to 10,617.26, 14,648.03 and 7,299.50

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Solution

The fourth proportional to 10,617.26, 14,648.03 and 7,299.50 is: 10,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.26 : 14,648.03 = 7,299.50 : x
  2. Step 2: Convert to fraction form
    10,617.26/14,648.03 = 7,299.50/x
  3. Step 3: Cross multiply
    10,617.26x = 14,648.03 × 7,299.50
  4. Step 4: Simplify right side
    10,617.26x = 106,923,294.99
  5. Step 5: Solve for x
    x = 106,923,294.99/10,617.26
  6. Step 6: Final answer
    x = 10,070.71

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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.