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Finding the Fourth Proportional to 11,564.74, 15,959.22 and 6,528.85

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Solution

The fourth proportional to 11,564.74, 15,959.22 and 6,528.85 is: 9,009.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,564.74 : 15,959.22 = 6,528.85 : x
  2. Step 2: Convert to fraction form
    11,564.74/15,959.22 = 6,528.85/x
  3. Step 3: Cross multiply
    11,564.74x = 15,959.22 × 6,528.85
  4. Step 4: Simplify right side
    11,564.74x = 104,195,353.50
  5. Step 5: Solve for x
    x = 104,195,353.50/11,564.74
  6. Step 6: Final answer
    x = 9,009.74

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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.