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Finding the Fourth Proportional to 7,583.14, 11,366.07 and 3,470.50

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Solution

The fourth proportional to 7,583.14, 11,366.07 and 3,470.50 is: 5,201.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,583.14 : 11,366.07 = 3,470.50 : x
  2. Step 2: Convert to fraction form
    7,583.14/11,366.07 = 3,470.50/x
  3. Step 3: Cross multiply
    7,583.14x = 11,366.07 × 3,470.50
  4. Step 4: Simplify right side
    7,583.14x = 39,445,945.94
  5. Step 5: Solve for x
    x = 39,445,945.94/7,583.14
  6. Step 6: Final answer
    x = 5,201.80

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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.