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Finding the Fourth Proportional to 10,469.29, 14,435.81 and 7,631.66

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Solution

The fourth proportional to 10,469.29, 14,435.81 and 7,631.66 is: 10,523.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,469.29 : 14,435.81 = 7,631.66 : x
  2. Step 2: Convert to fraction form
    10,469.29/14,435.81 = 7,631.66/x
  3. Step 3: Cross multiply
    10,469.29x = 14,435.81 × 7,631.66
  4. Step 4: Simplify right side
    10,469.29x = 110,169,193.74
  5. Step 5: Solve for x
    x = 110,169,193.74/10,469.29
  6. Step 6: Final answer
    x = 10,523.08

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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.