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Finding the Fourth Proportional to 10,442.02, 14,410.02 and 5,726.60

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Solution

The fourth proportional to 10,442.02, 14,410.02 and 5,726.60 is: 7,902.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.02 : 14,410.02 = 5,726.60 : x
  2. Step 2: Convert to fraction form
    10,442.02/14,410.02 = 5,726.60/x
  3. Step 3: Cross multiply
    10,442.02x = 14,410.02 × 5,726.60
  4. Step 4: Simplify right side
    10,442.02x = 82,520,420.53
  5. Step 5: Solve for x
    x = 82,520,420.53/10,442.02
  6. Step 6: Final answer
    x = 7,902.73

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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.