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Finding the Fourth Proportional to 7,586.01, 11,374.89 and 3,421.14

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Solution

The fourth proportional to 7,586.01, 11,374.89 and 3,421.14 is: 5,129.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,586.01 : 11,374.89 = 3,421.14 : x
  2. Step 2: Convert to fraction form
    7,586.01/11,374.89 = 3,421.14/x
  3. Step 3: Cross multiply
    7,586.01x = 11,374.89 × 3,421.14
  4. Step 4: Simplify right side
    7,586.01x = 38,915,091.17
  5. Step 5: Solve for x
    x = 38,915,091.17/7,586.01
  6. Step 6: Final answer
    x = 5,129.85

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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.