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Finding the Fourth Proportional to 7,271.48, 10,915.43 and 4,811.10

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Solution

The fourth proportional to 7,271.48, 10,915.43 and 4,811.10 is: 7,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,271.48 : 10,915.43 = 4,811.10 : x
  2. Step 2: Convert to fraction form
    7,271.48/10,915.43 = 4,811.10/x
  3. Step 3: Cross multiply
    7,271.48x = 10,915.43 × 4,811.10
  4. Step 4: Simplify right side
    7,271.48x = 52,515,201.22
  5. Step 5: Solve for x
    x = 52,515,201.22/7,271.48
  6. Step 6: Final answer
    x = 7,222.08

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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.