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Finding the Fourth Proportional to 11,077.21, 15,280 and 7,096.87

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Solution

The fourth proportional to 11,077.21, 15,280 and 7,096.87 is: 9,789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,077.21 : 15,280 = 7,096.87 : x
  2. Step 2: Convert to fraction form
    11,077.21/15,280 = 7,096.87/x
  3. Step 3: Cross multiply
    11,077.21x = 15,280 × 7,096.87
  4. Step 4: Simplify right side
    11,077.21x = 108,440,173.60
  5. Step 5: Solve for x
    x = 108,440,173.60/11,077.21
  6. Step 6: Final answer
    x = 9,789.48

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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.