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Finding the Fourth Proportional to 8,536.32, 11,785.86 and 6,543.36

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Solution

The fourth proportional to 8,536.32, 11,785.86 and 6,543.36 is: 9,034.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,536.32 : 11,785.86 = 6,543.36 : x
  2. Step 2: Convert to fraction form
    8,536.32/11,785.86 = 6,543.36/x
  3. Step 3: Cross multiply
    8,536.32x = 11,785.86 × 6,543.36
  4. Step 4: Simplify right side
    8,536.32x = 77,119,124.89
  5. Step 5: Solve for x
    x = 77,119,124.89/8,536.32
  6. Step 6: Final answer
    x = 9,034.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.