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Finding the Fourth Proportional to 7,644.39, 11,466.58 and 5,046.72

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Solution

The fourth proportional to 7,644.39, 11,466.58 and 5,046.72 is: 7,570.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,644.39 : 11,466.58 = 5,046.72 : x
  2. Step 2: Convert to fraction form
    7,644.39/11,466.58 = 5,046.72/x
  3. Step 3: Cross multiply
    7,644.39x = 11,466.58 × 5,046.72
  4. Step 4: Simplify right side
    7,644.39x = 57,868,618.62
  5. Step 5: Solve for x
    x = 57,868,618.62/7,644.39
  6. Step 6: Final answer
    x = 7,570.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.