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Finding the Fourth Proportional to 8,296.86, 11,442.15 and 5,497.50

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Solution

The fourth proportional to 8,296.86, 11,442.15 and 5,497.50 is: 7,581.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.86 : 11,442.15 = 5,497.50 : x
  2. Step 2: Convert to fraction form
    8,296.86/11,442.15 = 5,497.50/x
  3. Step 3: Cross multiply
    8,296.86x = 11,442.15 × 5,497.50
  4. Step 4: Simplify right side
    8,296.86x = 62,903,219.63
  5. Step 5: Solve for x
    x = 62,903,219.63/8,296.86
  6. Step 6: Final answer
    x = 7,581.57

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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.