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Finding the Fourth Proportional to 10,693.44, 14,749.20 and 8,262

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Solution

The fourth proportional to 10,693.44, 14,749.20 and 8,262 is: 11,395.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,693.44 : 14,749.20 = 8,262 : x
  2. Step 2: Convert to fraction form
    10,693.44/14,749.20 = 8,262/x
  3. Step 3: Cross multiply
    10,693.44x = 14,749.20 × 8,262
  4. Step 4: Simplify right side
    10,693.44x = 121,857,890.40
  5. Step 5: Solve for x
    x = 121,857,890.40/10,693.44
  6. Step 6: Final answer
    x = 11,395.57

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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.