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Finding the Fourth Proportional to 10,460.62, 14,435.66 and 5,745.20

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Solution

The fourth proportional to 10,460.62, 14,435.66 and 5,745.20 is: 7,928.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,460.62 : 14,435.66 = 5,745.20 : x
  2. Step 2: Convert to fraction form
    10,460.62/14,435.66 = 5,745.20/x
  3. Step 3: Cross multiply
    10,460.62x = 14,435.66 × 5,745.20
  4. Step 4: Simplify right side
    10,460.62x = 82,935,753.83
  5. Step 5: Solve for x
    x = 82,935,753.83/10,460.62
  6. Step 6: Final answer
    x = 7,928.38

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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.