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Finding the Fourth Proportional to 7,657.26, 11,485.89 and 5,059.59

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Solution

The fourth proportional to 7,657.26, 11,485.89 and 5,059.59 is: 7,589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,657.26 : 11,485.89 = 5,059.59 : x
  2. Step 2: Convert to fraction form
    7,657.26/11,485.89 = 5,059.59/x
  3. Step 3: Cross multiply
    7,657.26x = 11,485.89 × 5,059.59
  4. Step 4: Simplify right side
    7,657.26x = 58,113,894.19
  5. Step 5: Solve for x
    x = 58,113,894.19/7,657.26
  6. Step 6: Final answer
    x = 7,589.39

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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.