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Finding the Fourth Proportional to 7,400.59, 11,046.89 and 6,466.40

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Solution

The fourth proportional to 7,400.59, 11,046.89 and 6,466.40 is: 9,652.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,400.59 : 11,046.89 = 6,466.40 : x
  2. Step 2: Convert to fraction form
    7,400.59/11,046.89 = 6,466.40/x
  3. Step 3: Cross multiply
    7,400.59x = 11,046.89 × 6,466.40
  4. Step 4: Simplify right side
    7,400.59x = 71,433,653.28
  5. Step 5: Solve for x
    x = 71,433,653.28/7,400.59
  6. Step 6: Final answer
    x = 9,652.43

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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.