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Finding the Fourth Proportional to 10,420.92, 14,380.62 and 5,705.40

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Solution

The fourth proportional to 10,420.92, 14,380.62 and 5,705.40 is: 7,873.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,420.92 : 14,380.62 = 5,705.40 : x
  2. Step 2: Convert to fraction form
    10,420.92/14,380.62 = 5,705.40/x
  3. Step 3: Cross multiply
    10,420.92x = 14,380.62 × 5,705.40
  4. Step 4: Simplify right side
    10,420.92x = 82,047,189.35
  5. Step 5: Solve for x
    x = 82,047,189.35/10,420.92
  6. Step 6: Final answer
    x = 7,873.32

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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.