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Finding the Fourth Proportional to 7,720.38, 10,654.55 and 4,363.34

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Solution

The fourth proportional to 7,720.38, 10,654.55 and 4,363.34 is: 6,021.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.38 : 10,654.55 = 4,363.34 : x
  2. Step 2: Convert to fraction form
    7,720.38/10,654.55 = 4,363.34/x
  3. Step 3: Cross multiply
    7,720.38x = 10,654.55 × 4,363.34
  4. Step 4: Simplify right side
    7,720.38x = 46,489,349.11
  5. Step 5: Solve for x
    x = 46,489,349.11/7,720.38
  6. Step 6: Final answer
    x = 6,021.64

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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.