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Finding the Fourth Proportional to 7,419.83, 11,129.74 and 3,035.50

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Solution

The fourth proportional to 7,419.83, 11,129.74 and 3,035.50 is: 4,553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.83 : 11,129.74 = 3,035.50 : x
  2. Step 2: Convert to fraction form
    7,419.83/11,129.74 = 3,035.50/x
  3. Step 3: Cross multiply
    7,419.83x = 11,129.74 × 3,035.50
  4. Step 4: Simplify right side
    7,419.83x = 33,784,325.77
  5. Step 5: Solve for x
    x = 33,784,325.77/7,419.83
  6. Step 6: Final answer
    x = 4,553.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.