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Finding the Fourth Proportional to 6,809.32, 10,207.82 and 4,730.30

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Solution

The fourth proportional to 6,809.32, 10,207.82 and 4,730.30 is: 7,091.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,809.32 : 10,207.82 = 4,730.30 : x
  2. Step 2: Convert to fraction form
    6,809.32/10,207.82 = 4,730.30/x
  3. Step 3: Cross multiply
    6,809.32x = 10,207.82 × 4,730.30
  4. Step 4: Simplify right side
    6,809.32x = 48,286,050.95
  5. Step 5: Solve for x
    x = 48,286,050.95/6,809.32
  6. Step 6: Final answer
    x = 7,091.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.