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Finding the Fourth Proportional to 8,509.48, 12,763.74 and 2,353

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Solution

The fourth proportional to 8,509.48, 12,763.74 and 2,353 is: 3,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,509.48 : 12,763.74 = 2,353 : x
  2. Step 2: Convert to fraction form
    8,509.48/12,763.74 = 2,353/x
  3. Step 3: Cross multiply
    8,509.48x = 12,763.74 × 2,353
  4. Step 4: Simplify right side
    8,509.48x = 30,033,080.22
  5. Step 5: Solve for x
    x = 30,033,080.22/8,509.48
  6. Step 6: Final answer
    x = 3,529.37

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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.