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Finding the Fourth Proportional to 7,624.56, 11,438.08 and 2,358.34

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Solution

The fourth proportional to 7,624.56, 11,438.08 and 2,358.34 is: 3,537.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,624.56 : 11,438.08 = 2,358.34 : x
  2. Step 2: Convert to fraction form
    7,624.56/11,438.08 = 2,358.34/x
  3. Step 3: Cross multiply
    7,624.56x = 11,438.08 × 2,358.34
  4. Step 4: Simplify right side
    7,624.56x = 26,974,881.59
  5. Step 5: Solve for x
    x = 26,974,881.59/7,624.56
  6. Step 6: Final answer
    x = 3,537.89

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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.