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Finding the Fourth Proportional to 8,542.37, 11,785.71 and 4,764.93

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Solution

The fourth proportional to 8,542.37, 11,785.71 and 4,764.93 is: 6,574.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,542.37 : 11,785.71 = 4,764.93 : x
  2. Step 2: Convert to fraction form
    8,542.37/11,785.71 = 4,764.93/x
  3. Step 3: Cross multiply
    8,542.37x = 11,785.71 × 4,764.93
  4. Step 4: Simplify right side
    8,542.37x = 56,158,033.37
  5. Step 5: Solve for x
    x = 56,158,033.37/8,542.37
  6. Step 6: Final answer
    x = 6,574.06

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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.