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Finding the Fourth Proportional to 10,262.60, 14,162.49 and 5,785.96

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Solution

The fourth proportional to 10,262.60, 14,162.49 and 5,785.96 is: 7,984.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,262.60 : 14,162.49 = 5,785.96 : x
  2. Step 2: Convert to fraction form
    10,262.60/14,162.49 = 5,785.96/x
  3. Step 3: Cross multiply
    10,262.60x = 14,162.49 × 5,785.96
  4. Step 4: Simplify right side
    10,262.60x = 81,943,600.64
  5. Step 5: Solve for x
    x = 81,943,600.64/10,262.60
  6. Step 6: Final answer
    x = 7,984.68

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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.