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Finding the Fourth Proportional to 8,051.32, 12,071.67 and 3,883.06

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Solution

The fourth proportional to 8,051.32, 12,071.67 and 3,883.06 is: 5,822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.32 : 12,071.67 = 3,883.06 : x
  2. Step 2: Convert to fraction form
    8,051.32/12,071.67 = 3,883.06/x
  3. Step 3: Cross multiply
    8,051.32x = 12,071.67 × 3,883.06
  4. Step 4: Simplify right side
    8,051.32x = 46,875,018.91
  5. Step 5: Solve for x
    x = 46,875,018.91/8,051.32
  6. Step 6: Final answer
    x = 5,822.03

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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.