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Finding the Fourth Proportional to 8,026.16, 11,071.67 and 5,639.81

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Solution

The fourth proportional to 8,026.16, 11,071.67 and 5,639.81 is: 7,779.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,026.16 : 11,071.67 = 5,639.81 : x
  2. Step 2: Convert to fraction form
    8,026.16/11,071.67 = 5,639.81/x
  3. Step 3: Cross multiply
    8,026.16x = 11,071.67 × 5,639.81
  4. Step 4: Simplify right side
    8,026.16x = 62,442,073.92
  5. Step 5: Solve for x
    x = 62,442,073.92/8,026.16
  6. Step 6: Final answer
    x = 7,779.82

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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.