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Finding the Fourth Proportional to 8,530.86, 11,772.81 and 4,754.46

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Solution

The fourth proportional to 8,530.86, 11,772.81 and 4,754.46 is: 6,561.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,530.86 : 11,772.81 = 4,754.46 : x
  2. Step 2: Convert to fraction form
    8,530.86/11,772.81 = 4,754.46/x
  3. Step 3: Cross multiply
    8,530.86x = 11,772.81 × 4,754.46
  4. Step 4: Simplify right side
    8,530.86x = 55,973,354.23
  5. Step 5: Solve for x
    x = 55,973,354.23/8,530.86
  6. Step 6: Final answer
    x = 6,561.28

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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.