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Finding the Fourth Proportional to 10,481.60, 14,469.12 and 7,492.25

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Solution

The fourth proportional to 10,481.60, 14,469.12 and 7,492.25 is: 10,342.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,481.60 : 14,469.12 = 7,492.25 : x
  2. Step 2: Convert to fraction form
    10,481.60/14,469.12 = 7,492.25/x
  3. Step 3: Cross multiply
    10,481.60x = 14,469.12 × 7,492.25
  4. Step 4: Simplify right side
    10,481.60x = 108,406,300.49
  5. Step 5: Solve for x
    x = 108,406,300.49/10,481.60
  6. Step 6: Final answer
    x = 10,342.53

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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.