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Finding the Fourth Proportional to 7,506.81, 10,353.87 and 5,271.21

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Solution

The fourth proportional to 7,506.81, 10,353.87 and 5,271.21 is: 7,270.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.81 : 10,353.87 = 5,271.21 : x
  2. Step 2: Convert to fraction form
    7,506.81/10,353.87 = 5,271.21/x
  3. Step 3: Cross multiply
    7,506.81x = 10,353.87 × 5,271.21
  4. Step 4: Simplify right side
    7,506.81x = 54,577,423.08
  5. Step 5: Solve for x
    x = 54,577,423.08/7,506.81
  6. Step 6: Final answer
    x = 7,270.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.