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Finding the Fourth Proportional to 7,671.38, 11,505.20 and 2,124.58

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Solution

The fourth proportional to 7,671.38, 11,505.20 and 2,124.58 is: 3,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.38 : 11,505.20 = 2,124.58 : x
  2. Step 2: Convert to fraction form
    7,671.38/11,505.20 = 2,124.58/x
  3. Step 3: Cross multiply
    7,671.38x = 11,505.20 × 2,124.58
  4. Step 4: Simplify right side
    7,671.38x = 24,443,717.82
  5. Step 5: Solve for x
    x = 24,443,717.82/7,671.38
  6. Step 6: Final answer
    x = 3,186.35

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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.