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Finding the Fourth Proportional to 8,357.86, 12,538.88 and 5,897.48

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Solution

The fourth proportional to 8,357.86, 12,538.88 and 5,897.48 is: 8,847.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.86 : 12,538.88 = 5,897.48 : x
  2. Step 2: Convert to fraction form
    8,357.86/12,538.88 = 5,897.48/x
  3. Step 3: Cross multiply
    8,357.86x = 12,538.88 × 5,897.48
  4. Step 4: Simplify right side
    8,357.86x = 73,947,794.02
  5. Step 5: Solve for x
    x = 73,947,794.02/8,357.86
  6. Step 6: Final answer
    x = 8,847.69

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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.