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Finding the Fourth Proportional to 10,430.01, 14,393.25 and 5,956.38

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Solution

The fourth proportional to 10,430.01, 14,393.25 and 5,956.38 is: 8,219.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,430.01 : 14,393.25 = 5,956.38 : x
  2. Step 2: Convert to fraction form
    10,430.01/14,393.25 = 5,956.38/x
  3. Step 3: Cross multiply
    10,430.01x = 14,393.25 × 5,956.38
  4. Step 4: Simplify right side
    10,430.01x = 85,731,666.44
  5. Step 5: Solve for x
    x = 85,731,666.44/10,430.01
  6. Step 6: Final answer
    x = 8,219.71

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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.