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Finding the Fourth Proportional to 7,146.14, 10,706.40 and 5,035.70

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Solution

The fourth proportional to 7,146.14, 10,706.40 and 5,035.70 is: 7,544.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.14 : 10,706.40 = 5,035.70 : x
  2. Step 2: Convert to fraction form
    7,146.14/10,706.40 = 5,035.70/x
  3. Step 3: Cross multiply
    7,146.14x = 10,706.40 × 5,035.70
  4. Step 4: Simplify right side
    7,146.14x = 53,914,218.48
  5. Step 5: Solve for x
    x = 53,914,218.48/7,146.14
  6. Step 6: Final answer
    x = 7,544.52

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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.