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Finding the Fourth Proportional to 7,013.01, 10,516.53 and 3,114.75

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Solution

The fourth proportional to 7,013.01, 10,516.53 and 3,114.75 is: 4,670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.01 : 10,516.53 = 3,114.75 : x
  2. Step 2: Convert to fraction form
    7,013.01/10,516.53 = 3,114.75/x
  3. Step 3: Cross multiply
    7,013.01x = 10,516.53 × 3,114.75
  4. Step 4: Simplify right side
    7,013.01x = 32,756,361.82
  5. Step 5: Solve for x
    x = 32,756,361.82/7,013.01
  6. Step 6: Final answer
    x = 4,670.80

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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.