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Finding the Fourth Proportional to 8,597.60, 12,897.75 and 3,667.25

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Solution

The fourth proportional to 8,597.60, 12,897.75 and 3,667.25 is: 5,501.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.60 : 12,897.75 = 3,667.25 : x
  2. Step 2: Convert to fraction form
    8,597.60/12,897.75 = 3,667.25/x
  3. Step 3: Cross multiply
    8,597.60x = 12,897.75 × 3,667.25
  4. Step 4: Simplify right side
    8,597.60x = 47,299,273.69
  5. Step 5: Solve for x
    x = 47,299,273.69/8,597.60
  6. Step 6: Final answer
    x = 5,501.45

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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.