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Finding the Fourth Proportional to 10,564.24, 15,846.84 and 2,773.84

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Solution

The fourth proportional to 10,564.24, 15,846.84 and 2,773.84 is: 4,160.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,564.24 : 15,846.84 = 2,773.84 : x
  2. Step 2: Convert to fraction form
    10,564.24/15,846.84 = 2,773.84/x
  3. Step 3: Cross multiply
    10,564.24x = 15,846.84 × 2,773.84
  4. Step 4: Simplify right side
    10,564.24x = 43,956,598.67
  5. Step 5: Solve for x
    x = 43,956,598.67/10,564.24
  6. Step 6: Final answer
    x = 4,160.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.