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Finding the Fourth Proportional to 8,051.96, 12,077.80 and 2,208.35

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Solution

The fourth proportional to 8,051.96, 12,077.80 and 2,208.35 is: 3,312.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.96 : 12,077.80 = 2,208.35 : x
  2. Step 2: Convert to fraction form
    8,051.96/12,077.80 = 2,208.35/x
  3. Step 3: Cross multiply
    8,051.96x = 12,077.80 × 2,208.35
  4. Step 4: Simplify right side
    8,051.96x = 26,671,943.72
  5. Step 5: Solve for x
    x = 26,671,943.72/8,051.96
  6. Step 6: Final answer
    x = 3,312.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.