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Finding the Fourth Proportional to 10,344.12, 14,275 and 5,628.50

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Solution

The fourth proportional to 10,344.12, 14,275 and 5,628.50 is: 7,767.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.12 : 14,275 = 5,628.50 : x
  2. Step 2: Convert to fraction form
    10,344.12/14,275 = 5,628.50/x
  3. Step 3: Cross multiply
    10,344.12x = 14,275 × 5,628.50
  4. Step 4: Simplify right side
    10,344.12x = 80,346,837.50
  5. Step 5: Solve for x
    x = 80,346,837.50/10,344.12
  6. Step 6: Final answer
    x = 7,767.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.