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Finding the Fourth Proportional to 8,597.30, 12,896.63 and 3,666.98

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Solution

The fourth proportional to 8,597.30, 12,896.63 and 3,666.98 is: 5,500.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.30 : 12,896.63 = 3,666.98 : x
  2. Step 2: Convert to fraction form
    8,597.30/12,896.63 = 3,666.98/x
  3. Step 3: Cross multiply
    8,597.30x = 12,896.63 × 3,666.98
  4. Step 4: Simplify right side
    8,597.30x = 47,291,601.46
  5. Step 5: Solve for x
    x = 47,291,601.46/8,597.30
  6. Step 6: Final answer
    x = 5,500.75

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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.