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Finding the Fourth Proportional to 8,465.52, 11,694.36 and 6,120

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Solution

The fourth proportional to 8,465.52, 11,694.36 and 6,120 is: 8,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,465.52 : 11,694.36 = 6,120 : x
  2. Step 2: Convert to fraction form
    8,465.52/11,694.36 = 6,120/x
  3. Step 3: Cross multiply
    8,465.52x = 11,694.36 × 6,120
  4. Step 4: Simplify right side
    8,465.52x = 71,569,483.20
  5. Step 5: Solve for x
    x = 71,569,483.20/8,465.52
  6. Step 6: Final answer
    x = 8,454.23

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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.