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Finding the Fourth Proportional to 7,307.52, 10,954.84 and 4,837.20

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Solution

The fourth proportional to 7,307.52, 10,954.84 and 4,837.20 is: 7,251.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,307.52 : 10,954.84 = 4,837.20 : x
  2. Step 2: Convert to fraction form
    7,307.52/10,954.84 = 4,837.20/x
  3. Step 3: Cross multiply
    7,307.52x = 10,954.84 × 4,837.20
  4. Step 4: Simplify right side
    7,307.52x = 52,990,752.05
  5. Step 5: Solve for x
    x = 52,990,752.05/7,307.52
  6. Step 6: Final answer
    x = 7,251.54

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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.