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Finding the Fourth Proportional to 7,730.43, 11,583.26 and 7,525.41

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Solution

The fourth proportional to 7,730.43, 11,583.26 and 7,525.41 is: 11,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,730.43 : 11,583.26 = 7,525.41 : x
  2. Step 2: Convert to fraction form
    7,730.43/11,583.26 = 7,525.41/x
  3. Step 3: Cross multiply
    7,730.43x = 11,583.26 × 7,525.41
  4. Step 4: Simplify right side
    7,730.43x = 87,168,780.64
  5. Step 5: Solve for x
    x = 87,168,780.64/7,730.43
  6. Step 6: Final answer
    x = 11,276.06

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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.