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Finding the Fourth Proportional to 7,758.45, 10,706.18 and 4,614.03

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Solution

The fourth proportional to 7,758.45, 10,706.18 and 4,614.03 is: 6,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.45 : 10,706.18 = 4,614.03 : x
  2. Step 2: Convert to fraction form
    7,758.45/10,706.18 = 4,614.03/x
  3. Step 3: Cross multiply
    7,758.45x = 10,706.18 × 4,614.03
  4. Step 4: Simplify right side
    7,758.45x = 49,398,612.64
  5. Step 5: Solve for x
    x = 49,398,612.64/7,758.45
  6. Step 6: Final answer
    x = 6,367.07

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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.