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Finding the Fourth Proportional to 7,972.02, 11,000.94 and 4,434.54

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Solution

The fourth proportional to 7,972.02, 11,000.94 and 4,434.54 is: 6,119.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.02 : 11,000.94 = 4,434.54 : x
  2. Step 2: Convert to fraction form
    7,972.02/11,000.94 = 4,434.54/x
  3. Step 3: Cross multiply
    7,972.02x = 11,000.94 × 4,434.54
  4. Step 4: Simplify right side
    7,972.02x = 48,784,108.47
  5. Step 5: Solve for x
    x = 48,784,108.47/7,972.02
  6. Step 6: Final answer
    x = 6,119.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.