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Finding the Fourth Proportional to 7,400.93, 11,047.41 and 6,466.75

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Solution

The fourth proportional to 7,400.93, 11,047.41 and 6,466.75 is: 9,652.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.93 : 11,047.41 = 6,466.75 : x
  2. Step 2: Convert to fraction form
    7,400.93/11,047.41 = 6,466.75/x
  3. Step 3: Cross multiply
    7,400.93x = 11,047.41 × 6,466.75
  4. Step 4: Simplify right side
    7,400.93x = 71,440,822.45
  5. Step 5: Solve for x
    x = 71,440,822.45/7,400.93
  6. Step 6: Final answer
    x = 9,652.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.