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Finding the Fourth Proportional to 8,678.45, 11,976.34 and 4,699.64

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Solution

The fourth proportional to 8,678.45, 11,976.34 and 4,699.64 is: 6,485.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,678.45 : 11,976.34 = 4,699.64 : x
  2. Step 2: Convert to fraction form
    8,678.45/11,976.34 = 4,699.64/x
  3. Step 3: Cross multiply
    8,678.45x = 11,976.34 × 4,699.64
  4. Step 4: Simplify right side
    8,678.45x = 56,284,486.52
  5. Step 5: Solve for x
    x = 56,284,486.52/8,678.45
  6. Step 6: Final answer
    x = 6,485.55

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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.