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Finding the Fourth Proportional to 8,536.72, 12,804.72 and 6,027.60

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Solution

The fourth proportional to 8,536.72, 12,804.72 and 6,027.60 is: 9,041.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.72 : 12,804.72 = 6,027.60 : x
  2. Step 2: Convert to fraction form
    8,536.72/12,804.72 = 6,027.60/x
  3. Step 3: Cross multiply
    8,536.72x = 12,804.72 × 6,027.60
  4. Step 4: Simplify right side
    8,536.72x = 77,181,730.27
  5. Step 5: Solve for x
    x = 77,181,730.27/8,536.72
  6. Step 6: Final answer
    x = 9,041.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.