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Finding the Fourth Proportional to 10,617.92, 15,929.44 and 4,462.40

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Solution

The fourth proportional to 10,617.92, 15,929.44 and 4,462.40 is: 6,694.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,617.92 : 15,929.44 = 4,462.40 : x
  2. Step 2: Convert to fraction form
    10,617.92/15,929.44 = 4,462.40/x
  3. Step 3: Cross multiply
    10,617.92x = 15,929.44 × 4,462.40
  4. Step 4: Simplify right side
    10,617.92x = 71,083,533.06
  5. Step 5: Solve for x
    x = 71,083,533.06/10,617.92
  6. Step 6: Final answer
    x = 6,694.68

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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.