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Finding the Fourth Proportional to 7,733.03, 11,601.86 and 3,053.70

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Solution

The fourth proportional to 7,733.03, 11,601.86 and 3,053.70 is: 4,581.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,733.03 : 11,601.86 = 3,053.70 : x
  2. Step 2: Convert to fraction form
    7,733.03/11,601.86 = 3,053.70/x
  3. Step 3: Cross multiply
    7,733.03x = 11,601.86 × 3,053.70
  4. Step 4: Simplify right side
    7,733.03x = 35,428,584.61
  5. Step 5: Solve for x
    x = 35,428,584.61/7,733.03
  6. Step 6: Final answer
    x = 4,581.47

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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.