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Finding the Fourth Proportional to 8,051.66, 11,106.17 and 5,816.82

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Solution

The fourth proportional to 8,051.66, 11,106.17 and 5,816.82 is: 8,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,051.66 : 11,106.17 = 5,816.82 : x
  2. Step 2: Convert to fraction form
    8,051.66/11,106.17 = 5,816.82/x
  3. Step 3: Cross multiply
    8,051.66x = 11,106.17 × 5,816.82
  4. Step 4: Simplify right side
    8,051.66x = 64,602,564.67
  5. Step 5: Solve for x
    x = 64,602,564.67/8,051.66
  6. Step 6: Final answer
    x = 8,023.51

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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.