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Finding the Fourth Proportional to 8,256.64, 11,386.56 and 7,660.48

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Solution

The fourth proportional to 8,256.64, 11,386.56 and 7,660.48 is: 10,564.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,256.64 : 11,386.56 = 7,660.48 : x
  2. Step 2: Convert to fraction form
    8,256.64/11,386.56 = 7,660.48/x
  3. Step 3: Cross multiply
    8,256.64x = 11,386.56 × 7,660.48
  4. Step 4: Simplify right side
    8,256.64x = 87,226,515.15
  5. Step 5: Solve for x
    x = 87,226,515.15/8,256.64
  6. Step 6: Final answer
    x = 10,564.41

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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.