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Finding the Fourth Proportional to 7,581.63, 11,362.63 and 5,237.90

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Solution

The fourth proportional to 7,581.63, 11,362.63 and 5,237.90 is: 7,850.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.63 : 11,362.63 = 5,237.90 : x
  2. Step 2: Convert to fraction form
    7,581.63/11,362.63 = 5,237.90/x
  3. Step 3: Cross multiply
    7,581.63x = 11,362.63 × 5,237.90
  4. Step 4: Simplify right side
    7,581.63x = 59,516,319.68
  5. Step 5: Solve for x
    x = 59,516,319.68/7,581.63
  6. Step 6: Final answer
    x = 7,850.07

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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.