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Finding the Fourth Proportional to 7,709.66, 11,564.48 and 1,866.27

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Solution

The fourth proportional to 7,709.66, 11,564.48 and 1,866.27 is: 2,799.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.66 : 11,564.48 = 1,866.27 : x
  2. Step 2: Convert to fraction form
    7,709.66/11,564.48 = 1,866.27/x
  3. Step 3: Cross multiply
    7,709.66x = 11,564.48 × 1,866.27
  4. Step 4: Simplify right side
    7,709.66x = 21,582,442.09
  5. Step 5: Solve for x
    x = 21,582,442.09/7,709.66
  6. Step 6: Final answer
    x = 2,799.40

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Why These Related Problems?

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