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Finding the Fourth Proportional to 7,808.16, 11,707.92 and 4,732.32

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Solution

The fourth proportional to 7,808.16, 11,707.92 and 4,732.32 is: 7,095.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.16 : 11,707.92 = 4,732.32 : x
  2. Step 2: Convert to fraction form
    7,808.16/11,707.92 = 4,732.32/x
  3. Step 3: Cross multiply
    7,808.16x = 11,707.92 × 4,732.32
  4. Step 4: Simplify right side
    7,808.16x = 55,405,623.97
  5. Step 5: Solve for x
    x = 55,405,623.97/7,808.16
  6. Step 6: Final answer
    x = 7,095.86

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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.