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Finding the Fourth Proportional to 8,486.22, 11,710.57 and 4,709.34

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Solution

The fourth proportional to 8,486.22, 11,710.57 and 4,709.34 is: 6,498.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,486.22 : 11,710.57 = 4,709.34 : x
  2. Step 2: Convert to fraction form
    8,486.22/11,710.57 = 4,709.34/x
  3. Step 3: Cross multiply
    8,486.22x = 11,710.57 × 4,709.34
  4. Step 4: Simplify right side
    8,486.22x = 55,149,055.72
  5. Step 5: Solve for x
    x = 55,149,055.72/8,486.22
  6. Step 6: Final answer
    x = 6,498.66

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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.