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Finding the Fourth Proportional to 7,572.38, 11,358.66 and 2,378.25

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Solution

The fourth proportional to 7,572.38, 11,358.66 and 2,378.25 is: 3,567.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,572.38 : 11,358.66 = 2,378.25 : x
  2. Step 2: Convert to fraction form
    7,572.38/11,358.66 = 2,378.25/x
  3. Step 3: Cross multiply
    7,572.38x = 11,358.66 × 2,378.25
  4. Step 4: Simplify right side
    7,572.38x = 27,013,742.06
  5. Step 5: Solve for x
    x = 27,013,742.06/7,572.38
  6. Step 6: Final answer
    x = 3,567.41

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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.