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Finding the Fourth Proportional to 8,298.75, 11,453.50 and 5,465.68

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Solution

The fourth proportional to 8,298.75, 11,453.50 and 5,465.68 is: 7,543.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,298.75 : 11,453.50 = 5,465.68 : x
  2. Step 2: Convert to fraction form
    8,298.75/11,453.50 = 5,465.68/x
  3. Step 3: Cross multiply
    8,298.75x = 11,453.50 × 5,465.68
  4. Step 4: Simplify right side
    8,298.75x = 62,601,144.08
  5. Step 5: Solve for x
    x = 62,601,144.08/8,298.75
  6. Step 6: Final answer
    x = 7,543.44

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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.