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Finding the Fourth Proportional to 8,897.60, 13,346.24 and 2,657.64

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Solution

The fourth proportional to 8,897.60, 13,346.24 and 2,657.64 is: 3,986.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,897.60 : 13,346.24 = 2,657.64 : x
  2. Step 2: Convert to fraction form
    8,897.60/13,346.24 = 2,657.64/x
  3. Step 3: Cross multiply
    8,897.60x = 13,346.24 × 2,657.64
  4. Step 4: Simplify right side
    8,897.60x = 35,469,501.27
  5. Step 5: Solve for x
    x = 35,469,501.27/8,897.60
  6. Step 6: Final answer
    x = 3,986.41

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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.