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Finding the Fourth Proportional to 10,284.84, 14,192.82 and 6,093

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Solution

The fourth proportional to 10,284.84, 14,192.82 and 6,093 is: 8,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.84 : 14,192.82 = 6,093 : x
  2. Step 2: Convert to fraction form
    10,284.84/14,192.82 = 6,093/x
  3. Step 3: Cross multiply
    10,284.84x = 14,192.82 × 6,093
  4. Step 4: Simplify right side
    10,284.84x = 86,476,852.26
  5. Step 5: Solve for x
    x = 86,476,852.26/10,284.84
  6. Step 6: Final answer
    x = 8,408.19

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