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Finding the Fourth Proportional to 7,419.83, 11,076.71 and 7,160.24

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Solution

The fourth proportional to 7,419.83, 11,076.71 and 7,160.24 is: 10,689.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.83 : 11,076.71 = 7,160.24 : x
  2. Step 2: Convert to fraction form
    7,419.83/11,076.71 = 7,160.24/x
  3. Step 3: Cross multiply
    7,419.83x = 11,076.71 × 7,160.24
  4. Step 4: Simplify right side
    7,419.83x = 79,311,902.01
  5. Step 5: Solve for x
    x = 79,311,902.01/7,419.83
  6. Step 6: Final answer
    x = 10,689.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.