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Finding the Fourth Proportional to 7,581.76, 11,373.72 and 3,683.50

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Solution

The fourth proportional to 7,581.76, 11,373.72 and 3,683.50 is: 5,525.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,581.76 : 11,373.72 = 3,683.50 : x
  2. Step 2: Convert to fraction form
    7,581.76/11,373.72 = 3,683.50/x
  3. Step 3: Cross multiply
    7,581.76x = 11,373.72 × 3,683.50
  4. Step 4: Simplify right side
    7,581.76x = 41,895,097.62
  5. Step 5: Solve for x
    x = 41,895,097.62/7,581.76
  6. Step 6: Final answer
    x = 5,525.77

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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.