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Finding the Fourth Proportional to 7,352.30, 11,024.40 and 2,419.40

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Solution

The fourth proportional to 7,352.30, 11,024.40 and 2,419.40 is: 3,627.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,352.30 : 11,024.40 = 2,419.40 : x
  2. Step 2: Convert to fraction form
    7,352.30/11,024.40 = 2,419.40/x
  3. Step 3: Cross multiply
    7,352.30x = 11,024.40 × 2,419.40
  4. Step 4: Simplify right side
    7,352.30x = 26,672,433.36
  5. Step 5: Solve for x
    x = 26,672,433.36/7,352.30
  6. Step 6: Final answer
    x = 3,627.77

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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.