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Finding the Fourth Proportional to 6,071.64, 8,353.80 and 5,896.68

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Solution

The fourth proportional to 6,071.64, 8,353.80 and 5,896.68 is: 8,113.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,071.64 : 8,353.80 = 5,896.68 : x
  2. Step 2: Convert to fraction form
    6,071.64/8,353.80 = 5,896.68/x
  3. Step 3: Cross multiply
    6,071.64x = 8,353.80 × 5,896.68
  4. Step 4: Simplify right side
    6,071.64x = 49,259,685.38
  5. Step 5: Solve for x
    x = 49,259,685.38/6,071.64
  6. Step 6: Final answer
    x = 8,113.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.