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Finding the Fourth Proportional to 8,597.37, 12,874.16 and 5,666.79

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Solution

The fourth proportional to 8,597.37, 12,874.16 and 5,666.79 is: 8,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.37 : 12,874.16 = 5,666.79 : x
  2. Step 2: Convert to fraction form
    8,597.37/12,874.16 = 5,666.79/x
  3. Step 3: Cross multiply
    8,597.37x = 12,874.16 × 5,666.79
  4. Step 4: Simplify right side
    8,597.37x = 72,955,132.81
  5. Step 5: Solve for x
    x = 72,955,132.81/8,597.37
  6. Step 6: Final answer
    x = 8,485.75

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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.