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Finding the Fourth Proportional to 7,709.69, 11,564.85 and 2,444.58

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Solution

The fourth proportional to 7,709.69, 11,564.85 and 2,444.58 is: 3,666.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.69 : 11,564.85 = 2,444.58 : x
  2. Step 2: Convert to fraction form
    7,709.69/11,564.85 = 2,444.58/x
  3. Step 3: Cross multiply
    7,709.69x = 11,564.85 × 2,444.58
  4. Step 4: Simplify right side
    7,709.69x = 28,271,201.01
  5. Step 5: Solve for x
    x = 28,271,201.01/7,709.69
  6. Step 6: Final answer
    x = 3,666.97

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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.