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Finding the Fourth Proportional to 7,580.70, 11,374.31 and 2,902.12

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Solution

The fourth proportional to 7,580.70, 11,374.31 and 2,902.12 is: 4,354.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,580.70 : 11,374.31 = 2,902.12 : x
  2. Step 2: Convert to fraction form
    7,580.70/11,374.31 = 2,902.12/x
  3. Step 3: Cross multiply
    7,580.70x = 11,374.31 × 2,902.12
  4. Step 4: Simplify right side
    7,580.70x = 33,009,612.54
  5. Step 5: Solve for x
    x = 33,009,612.54/7,580.70
  6. Step 6: Final answer
    x = 4,354.43

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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.