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Finding the Fourth Proportional to 8,367.36, 12,536.64 and 5,897.76

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Solution

The fourth proportional to 8,367.36, 12,536.64 and 5,897.76 is: 8,836.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,367.36 : 12,536.64 = 5,897.76 : x
  2. Step 2: Convert to fraction form
    8,367.36/12,536.64 = 5,897.76/x
  3. Step 3: Cross multiply
    8,367.36x = 12,536.64 × 5,897.76
  4. Step 4: Simplify right side
    8,367.36x = 73,938,093.93
  5. Step 5: Solve for x
    x = 73,938,093.93/8,367.36
  6. Step 6: Final answer
    x = 8,836.49

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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.