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Finding the Fourth Proportional to 10,761.60, 14,857.92 and 9,698.88

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Solution

The fourth proportional to 10,761.60, 14,857.92 and 9,698.88 is: 13,390.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,761.60 : 14,857.92 = 9,698.88 : x
  2. Step 2: Convert to fraction form
    10,761.60/14,857.92 = 9,698.88/x
  3. Step 3: Cross multiply
    10,761.60x = 14,857.92 × 9,698.88
  4. Step 4: Simplify right side
    10,761.60x = 144,105,183.13
  5. Step 5: Solve for x
    x = 144,105,183.13/10,761.60
  6. Step 6: Final answer
    x = 13,390.68

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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.