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Finding the Fourth Proportional to 8,454.76, 11,667.36 and 4,678.06

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Solution

The fourth proportional to 8,454.76, 11,667.36 and 4,678.06 is: 6,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.76 : 11,667.36 = 4,678.06 : x
  2. Step 2: Convert to fraction form
    8,454.76/11,667.36 = 4,678.06/x
  3. Step 3: Cross multiply
    8,454.76x = 11,667.36 × 4,678.06
  4. Step 4: Simplify right side
    8,454.76x = 54,580,610.12
  5. Step 5: Solve for x
    x = 54,580,610.12/8,454.76
  6. Step 6: Final answer
    x = 6,455.61

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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.