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Finding the Fourth Proportional to 8,454.83, 11,667.37 and 4,678.00

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Solution

The fourth proportional to 8,454.83, 11,667.37 and 4,678.00 is: 6,455.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.83 : 11,667.37 = 4,678.00 : x
  2. Step 2: Convert to fraction form
    8,454.83/11,667.37 = 4,678.00/x
  3. Step 3: Cross multiply
    8,454.83x = 11,667.37 × 4,678.00
  4. Step 4: Simplify right side
    8,454.83x = 54,579,898.52
  5. Step 5: Solve for x
    x = 54,579,898.52/8,454.83
  6. Step 6: Final answer
    x = 6,455.47

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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.