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Finding the Fourth Proportional to 7,500.61, 11,253 and 3,283.11

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Solution

The fourth proportional to 7,500.61, 11,253 and 3,283.11 is: 4,925.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,500.61 : 11,253 = 3,283.11 : x
  2. Step 2: Convert to fraction form
    7,500.61/11,253 = 3,283.11/x
  3. Step 3: Cross multiply
    7,500.61x = 11,253 × 3,283.11
  4. Step 4: Simplify right side
    7,500.61x = 36,944,836.83
  5. Step 5: Solve for x
    x = 36,944,836.83/7,500.61
  6. Step 6: Final answer
    x = 4,925.58

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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.