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Finding the Fourth Proportional to 10,558.20, 14,570.74 and 5,842.14

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Solution

The fourth proportional to 10,558.20, 14,570.74 and 5,842.14 is: 8,062.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,558.20 : 14,570.74 = 5,842.14 : x
  2. Step 2: Convert to fraction form
    10,558.20/14,570.74 = 5,842.14/x
  3. Step 3: Cross multiply
    10,558.20x = 14,570.74 × 5,842.14
  4. Step 4: Simplify right side
    10,558.20x = 85,124,302.98
  5. Step 5: Solve for x
    x = 85,124,302.98/10,558.20
  6. Step 6: Final answer
    x = 8,062.39

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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.