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Finding the Fourth Proportional to 7,671.72, 11,505.07 and 2,476.38

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Solution

The fourth proportional to 7,671.72, 11,505.07 and 2,476.38 is: 3,713.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.72 : 11,505.07 = 2,476.38 : x
  2. Step 2: Convert to fraction form
    7,671.72/11,505.07 = 2,476.38/x
  3. Step 3: Cross multiply
    7,671.72x = 11,505.07 × 2,476.38
  4. Step 4: Simplify right side
    7,671.72x = 28,490,925.25
  5. Step 5: Solve for x
    x = 28,490,925.25/7,671.72
  6. Step 6: Final answer
    x = 3,713.76

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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.