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Finding the Fourth Proportional to 7,141.66, 10,706.55 and 4,954.66

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Solution

The fourth proportional to 7,141.66, 10,706.55 and 4,954.66 is: 7,427.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.66 : 10,706.55 = 4,954.66 : x
  2. Step 2: Convert to fraction form
    7,141.66/10,706.55 = 4,954.66/x
  3. Step 3: Cross multiply
    7,141.66x = 10,706.55 × 4,954.66
  4. Step 4: Simplify right side
    7,141.66x = 53,047,315.02
  5. Step 5: Solve for x
    x = 53,047,315.02/7,141.66
  6. Step 6: Final answer
    x = 7,427.87

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Why These Related Problems?

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