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Finding the Fourth Proportional to 8,453.16, 12,674.07 and 7,573.50

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Solution

The fourth proportional to 8,453.16, 12,674.07 and 7,573.50 is: 11,355.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,453.16 : 12,674.07 = 7,573.50 : x
  2. Step 2: Convert to fraction form
    8,453.16/12,674.07 = 7,573.50/x
  3. Step 3: Cross multiply
    8,453.16x = 12,674.07 × 7,573.50
  4. Step 4: Simplify right side
    8,453.16x = 95,987,069.15
  5. Step 5: Solve for x
    x = 95,987,069.15/8,453.16
  6. Step 6: Final answer
    x = 11,355.17

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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.