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Finding the Fourth Proportional to 7,013.85, 10,510.74 and 5,150.34

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Solution

The fourth proportional to 7,013.85, 10,510.74 and 5,150.34 is: 7,718.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,013.85 : 10,510.74 = 5,150.34 : x
  2. Step 2: Convert to fraction form
    7,013.85/10,510.74 = 5,150.34/x
  3. Step 3: Cross multiply
    7,013.85x = 10,510.74 × 5,150.34
  4. Step 4: Simplify right side
    7,013.85x = 54,133,884.65
  5. Step 5: Solve for x
    x = 54,133,884.65/7,013.85
  6. Step 6: Final answer
    x = 7,718.14

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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.