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Finding the Fourth Proportional to 8,395.68, 12,593.68 and 2,552

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Solution

The fourth proportional to 8,395.68, 12,593.68 and 2,552 is: 3,828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,395.68 : 12,593.68 = 2,552 : x
  2. Step 2: Convert to fraction form
    8,395.68/12,593.68 = 2,552/x
  3. Step 3: Cross multiply
    8,395.68x = 12,593.68 × 2,552
  4. Step 4: Simplify right side
    8,395.68x = 32,139,071.36
  5. Step 5: Solve for x
    x = 32,139,071.36/8,395.68
  6. Step 6: Final answer
    x = 3,828.05

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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.