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Finding the Fourth Proportional to 10,397.84, 14,349.38 and 5,682.43

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Solution

The fourth proportional to 10,397.84, 14,349.38 and 5,682.43 is: 7,841.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,397.84 : 14,349.38 = 5,682.43 : x
  2. Step 2: Convert to fraction form
    10,397.84/14,349.38 = 5,682.43/x
  3. Step 3: Cross multiply
    10,397.84x = 14,349.38 × 5,682.43
  4. Step 4: Simplify right side
    10,397.84x = 81,539,347.39
  5. Step 5: Solve for x
    x = 81,539,347.39/10,397.84
  6. Step 6: Final answer
    x = 7,841.95

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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.