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Finding the Fourth Proportional to 11,429.64, 15,765.84 and 7,842.96

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Solution

The fourth proportional to 11,429.64, 15,765.84 and 7,842.96 is: 10,818.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,429.64 : 15,765.84 = 7,842.96 : x
  2. Step 2: Convert to fraction form
    11,429.64/15,765.84 = 7,842.96/x
  3. Step 3: Cross multiply
    11,429.64x = 15,765.84 × 7,842.96
  4. Step 4: Simplify right side
    11,429.64x = 123,650,852.49
  5. Step 5: Solve for x
    x = 123,650,852.49/11,429.64
  6. Step 6: Final answer
    x = 10,818.44

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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.