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Finding the Fourth Proportional to 7,101.84, 10,655.16 and 2,943.84

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Solution

The fourth proportional to 7,101.84, 10,655.16 and 2,943.84 is: 4,416.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.84 : 10,655.16 = 2,943.84 : x
  2. Step 2: Convert to fraction form
    7,101.84/10,655.16 = 2,943.84/x
  3. Step 3: Cross multiply
    7,101.84x = 10,655.16 × 2,943.84
  4. Step 4: Simplify right side
    7,101.84x = 31,367,086.21
  5. Step 5: Solve for x
    x = 31,367,086.21/7,101.84
  6. Step 6: Final answer
    x = 4,416.75

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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.