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Finding the Fourth Proportional to 8,185.81, 11,298.95 and 5,043.01

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Solution

The fourth proportional to 8,185.81, 11,298.95 and 5,043.01 is: 6,960.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.81 : 11,298.95 = 5,043.01 : x
  2. Step 2: Convert to fraction form
    8,185.81/11,298.95 = 5,043.01/x
  3. Step 3: Cross multiply
    8,185.81x = 11,298.95 × 5,043.01
  4. Step 4: Simplify right side
    8,185.81x = 56,980,717.84
  5. Step 5: Solve for x
    x = 56,980,717.84/8,185.81
  6. Step 6: Final answer
    x = 6,960.91

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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.