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Finding the Fourth Proportional to 7,624.01, 11,433.44 and 2,557.17

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Solution

The fourth proportional to 7,624.01, 11,433.44 and 2,557.17 is: 3,834.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.01 : 11,433.44 = 2,557.17 : x
  2. Step 2: Convert to fraction form
    7,624.01/11,433.44 = 2,557.17/x
  3. Step 3: Cross multiply
    7,624.01x = 11,433.44 × 2,557.17
  4. Step 4: Simplify right side
    7,624.01x = 29,237,256.16
  5. Step 5: Solve for x
    x = 29,237,256.16/7,624.01
  6. Step 6: Final answer
    x = 3,834.89

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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.