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Finding the Fourth Proportional to 6,164.84, 8,511.28 and 4,013.45

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Solution

The fourth proportional to 6,164.84, 8,511.28 and 4,013.45 is: 5,541.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.84 : 8,511.28 = 4,013.45 : x
  2. Step 2: Convert to fraction form
    6,164.84/8,511.28 = 4,013.45/x
  3. Step 3: Cross multiply
    6,164.84x = 8,511.28 × 4,013.45
  4. Step 4: Simplify right side
    6,164.84x = 34,159,576.04
  5. Step 5: Solve for x
    x = 34,159,576.04/6,164.84
  6. Step 6: Final answer
    x = 5,541.03

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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.