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Finding the Fourth Proportional to 8,099.68, 11,180.28 and 5,120.50

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Solution

The fourth proportional to 8,099.68, 11,180.28 and 5,120.50 is: 7,068.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.68 : 11,180.28 = 5,120.50 : x
  2. Step 2: Convert to fraction form
    8,099.68/11,180.28 = 5,120.50/x
  3. Step 3: Cross multiply
    8,099.68x = 11,180.28 × 5,120.50
  4. Step 4: Simplify right side
    8,099.68x = 57,248,623.74
  5. Step 5: Solve for x
    x = 57,248,623.74/8,099.68
  6. Step 6: Final answer
    x = 7,068.01

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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.