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Finding the Fourth Proportional to 7,648.02, 11,476.08 and 6,614.73

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Solution

The fourth proportional to 7,648.02, 11,476.08 and 6,614.73 is: 9,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,648.02 : 11,476.08 = 6,614.73 : x
  2. Step 2: Convert to fraction form
    7,648.02/11,476.08 = 6,614.73/x
  3. Step 3: Cross multiply
    7,648.02x = 11,476.08 × 6,614.73
  4. Step 4: Simplify right side
    7,648.02x = 75,911,170.66
  5. Step 5: Solve for x
    x = 75,911,170.66/7,648.02
  6. Step 6: Final answer
    x = 9,925.60

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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.