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Finding the Fourth Proportional to 8,111.16, 12,180.63 and 5,009.52

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Solution

The fourth proportional to 8,111.16, 12,180.63 and 5,009.52 is: 7,522.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,111.16 : 12,180.63 = 5,009.52 : x
  2. Step 2: Convert to fraction form
    8,111.16/12,180.63 = 5,009.52/x
  3. Step 3: Cross multiply
    8,111.16x = 12,180.63 × 5,009.52
  4. Step 4: Simplify right side
    8,111.16x = 61,019,109.60
  5. Step 5: Solve for x
    x = 61,019,109.60/8,111.16
  6. Step 6: Final answer
    x = 7,522.86

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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.