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Finding the Fourth Proportional to 7,709.33, 11,564.03 and 1,865.95

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Solution

The fourth proportional to 7,709.33, 11,564.03 and 1,865.95 is: 2,798.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.33 : 11,564.03 = 1,865.95 : x
  2. Step 2: Convert to fraction form
    7,709.33/11,564.03 = 1,865.95/x
  3. Step 3: Cross multiply
    7,709.33x = 11,564.03 × 1,865.95
  4. Step 4: Simplify right side
    7,709.33x = 21,577,901.78
  5. Step 5: Solve for x
    x = 21,577,901.78/7,709.33
  6. Step 6: Final answer
    x = 2,798.93

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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.