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Finding the Fourth Proportional to 7,498.94, 11,245.19 and 2,569.07

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Solution

The fourth proportional to 7,498.94, 11,245.19 and 2,569.07 is: 3,852.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,498.94 : 11,245.19 = 2,569.07 : x
  2. Step 2: Convert to fraction form
    7,498.94/11,245.19 = 2,569.07/x
  3. Step 3: Cross multiply
    7,498.94x = 11,245.19 × 2,569.07
  4. Step 4: Simplify right side
    7,498.94x = 28,889,611.20
  5. Step 5: Solve for x
    x = 28,889,611.20/7,498.94
  6. Step 6: Final answer
    x = 3,852.50

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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.