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Finding the Fourth Proportional to 8,101.76, 11,180.32 and 4,564.48

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Solution

The fourth proportional to 8,101.76, 11,180.32 and 4,564.48 is: 6,298.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.76 : 11,180.32 = 4,564.48 : x
  2. Step 2: Convert to fraction form
    8,101.76/11,180.32 = 4,564.48/x
  3. Step 3: Cross multiply
    8,101.76x = 11,180.32 × 4,564.48
  4. Step 4: Simplify right side
    8,101.76x = 51,032,347.03
  5. Step 5: Solve for x
    x = 51,032,347.03/8,101.76
  6. Step 6: Final answer
    x = 6,298.92

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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.