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Finding the Fourth Proportional to 11,564.30, 15,959.15 and 6,529.42

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Solution

The fourth proportional to 11,564.30, 15,959.15 and 6,529.42 is: 9,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.30 : 15,959.15 = 6,529.42 : x
  2. Step 2: Convert to fraction form
    11,564.30/15,959.15 = 6,529.42/x
  3. Step 3: Cross multiply
    11,564.30x = 15,959.15 × 6,529.42
  4. Step 4: Simplify right side
    11,564.30x = 104,204,017.68
  5. Step 5: Solve for x
    x = 104,204,017.68/11,564.30
  6. Step 6: Final answer
    x = 9,010.83

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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.