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Finding the Fourth Proportional to 6,065.32, 8,362.92 and 4,071.64

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Solution

The fourth proportional to 6,065.32, 8,362.92 and 4,071.64 is: 5,614.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,065.32 : 8,362.92 = 4,071.64 : x
  2. Step 2: Convert to fraction form
    6,065.32/8,362.92 = 4,071.64/x
  3. Step 3: Cross multiply
    6,065.32x = 8,362.92 × 4,071.64
  4. Step 4: Simplify right side
    6,065.32x = 34,050,799.59
  5. Step 5: Solve for x
    x = 34,050,799.59/6,065.32
  6. Step 6: Final answer
    x = 5,614.02

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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.