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Finding the Fourth Proportional to 6,500.02, 8,941.68 and 5,699.74

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Solution

The fourth proportional to 6,500.02, 8,941.68 and 5,699.74 is: 7,840.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.02 : 8,941.68 = 5,699.74 : x
  2. Step 2: Convert to fraction form
    6,500.02/8,941.68 = 5,699.74/x
  3. Step 3: Cross multiply
    6,500.02x = 8,941.68 × 5,699.74
  4. Step 4: Simplify right side
    6,500.02x = 50,965,251.16
  5. Step 5: Solve for x
    x = 50,965,251.16/6,500.02
  6. Step 6: Final answer
    x = 7,840.78

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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.