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Finding the Fourth Proportional to 7,059.85, 9,752.73 and 5,641.68

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Solution

The fourth proportional to 7,059.85, 9,752.73 and 5,641.68 is: 7,793.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,059.85 : 9,752.73 = 5,641.68 : x
  2. Step 2: Convert to fraction form
    7,059.85/9,752.73 = 5,641.68/x
  3. Step 3: Cross multiply
    7,059.85x = 9,752.73 × 5,641.68
  4. Step 4: Simplify right side
    7,059.85x = 55,021,792.36
  5. Step 5: Solve for x
    x = 55,021,792.36/7,059.85
  6. Step 6: Final answer
    x = 7,793.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.