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Finding the Fourth Proportional to 7,639.29, 10,542.87 and 4,410.15

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Solution

The fourth proportional to 7,639.29, 10,542.87 and 4,410.15 is: 6,086.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,639.29 : 10,542.87 = 4,410.15 : x
  2. Step 2: Convert to fraction form
    7,639.29/10,542.87 = 4,410.15/x
  3. Step 3: Cross multiply
    7,639.29x = 10,542.87 × 4,410.15
  4. Step 4: Simplify right side
    7,639.29x = 46,495,638.13
  5. Step 5: Solve for x
    x = 46,495,638.13/7,639.29
  6. Step 6: Final answer
    x = 6,086.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.