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Finding the Fourth Proportional to 7,665.16, 11,497.92 and 2,470.84

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Solution

The fourth proportional to 7,665.16, 11,497.92 and 2,470.84 is: 3,706.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,665.16 : 11,497.92 = 2,470.84 : x
  2. Step 2: Convert to fraction form
    7,665.16/11,497.92 = 2,470.84/x
  3. Step 3: Cross multiply
    7,665.16x = 11,497.92 × 2,470.84
  4. Step 4: Simplify right side
    7,665.16x = 28,409,520.65
  5. Step 5: Solve for x
    x = 28,409,520.65/7,665.16
  6. Step 6: Final answer
    x = 3,706.32

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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.