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Finding the Fourth Proportional to 7,466.37, 10,314.03 and 6,792.98

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Solution

The fourth proportional to 7,466.37, 10,314.03 and 6,792.98 is: 9,383.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,466.37 : 10,314.03 = 6,792.98 : x
  2. Step 2: Convert to fraction form
    7,466.37/10,314.03 = 6,792.98/x
  3. Step 3: Cross multiply
    7,466.37x = 10,314.03 × 6,792.98
  4. Step 4: Simplify right side
    7,466.37x = 70,062,973.41
  5. Step 5: Solve for x
    x = 70,062,973.41/7,466.37
  6. Step 6: Final answer
    x = 9,383.81

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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.