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Finding the Fourth Proportional to 10,458.96, 14,418.12 and 7,469.52

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Solution

The fourth proportional to 10,458.96, 14,418.12 and 7,469.52 is: 10,297.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,458.96 : 14,418.12 = 7,469.52 : x
  2. Step 2: Convert to fraction form
    10,458.96/14,418.12 = 7,469.52/x
  3. Step 3: Cross multiply
    10,458.96x = 14,418.12 × 7,469.52
  4. Step 4: Simplify right side
    10,458.96x = 107,696,435.70
  5. Step 5: Solve for x
    x = 107,696,435.70/10,458.96
  6. Step 6: Final answer
    x = 10,297.05

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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.