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Finding the Fourth Proportional to 8,534.78, 11,778.05 and 4,758.19

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Solution

The fourth proportional to 8,534.78, 11,778.05 and 4,758.19 is: 6,566.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,534.78 : 11,778.05 = 4,758.19 : x
  2. Step 2: Convert to fraction form
    8,534.78/11,778.05 = 4,758.19/x
  3. Step 3: Cross multiply
    8,534.78x = 11,778.05 × 4,758.19
  4. Step 4: Simplify right side
    8,534.78x = 56,042,164.34
  5. Step 5: Solve for x
    x = 56,042,164.34/8,534.78
  6. Step 6: Final answer
    x = 6,566.33

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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.