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Finding the Fourth Proportional to 10,335.68, 14,263.14 and 5,620

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Solution

The fourth proportional to 10,335.68, 14,263.14 and 5,620 is: 7,755.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,335.68 : 14,263.14 = 5,620 : x
  2. Step 2: Convert to fraction form
    10,335.68/14,263.14 = 5,620/x
  3. Step 3: Cross multiply
    10,335.68x = 14,263.14 × 5,620
  4. Step 4: Simplify right side
    10,335.68x = 80,158,846.80
  5. Step 5: Solve for x
    x = 80,158,846.80/10,335.68
  6. Step 6: Final answer
    x = 7,755.55

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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.