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Finding the Fourth Proportional to 7,542.81, 10,389.66 and 6,346.35

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Solution

The fourth proportional to 7,542.81, 10,389.66 and 6,346.35 is: 8,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.81 : 10,389.66 = 6,346.35 : x
  2. Step 2: Convert to fraction form
    7,542.81/10,389.66 = 6,346.35/x
  3. Step 3: Cross multiply
    7,542.81x = 10,389.66 × 6,346.35
  4. Step 4: Simplify right side
    7,542.81x = 65,936,418.74
  5. Step 5: Solve for x
    x = 65,936,418.74/7,542.81
  6. Step 6: Final answer
    x = 8,741.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.