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Finding the Fourth Proportional to 7,343.84, 11,026.70 and 2,969.84

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Solution

The fourth proportional to 7,343.84, 11,026.70 and 2,969.84 is: 4,459.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,343.84 : 11,026.70 = 2,969.84 : x
  2. Step 2: Convert to fraction form
    7,343.84/11,026.70 = 2,969.84/x
  3. Step 3: Cross multiply
    7,343.84x = 11,026.70 × 2,969.84
  4. Step 4: Simplify right side
    7,343.84x = 32,747,558.58
  5. Step 5: Solve for x
    x = 32,747,558.58/7,343.84
  6. Step 6: Final answer
    x = 4,459.19

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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.