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Finding the Fourth Proportional to 8,597.86, 12,898.12 and 3,667.50

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Solution

The fourth proportional to 8,597.86, 12,898.12 and 3,667.50 is: 5,501.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.86 : 12,898.12 = 3,667.50 : x
  2. Step 2: Convert to fraction form
    8,597.86/12,898.12 = 3,667.50/x
  3. Step 3: Cross multiply
    8,597.86x = 12,898.12 × 3,667.50
  4. Step 4: Simplify right side
    8,597.86x = 47,303,855.10
  5. Step 5: Solve for x
    x = 47,303,855.10/8,597.86
  6. Step 6: Final answer
    x = 5,501.82

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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.