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Finding the Fourth Proportional to 10,677.17, 14,734.22 and 5,897.48

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Solution

The fourth proportional to 10,677.17, 14,734.22 and 5,897.48 is: 8,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,677.17 : 14,734.22 = 5,897.48 : x
  2. Step 2: Convert to fraction form
    10,677.17/14,734.22 = 5,897.48/x
  3. Step 3: Cross multiply
    10,677.17x = 14,734.22 × 5,897.48
  4. Step 4: Simplify right side
    10,677.17x = 86,894,664.61
  5. Step 5: Solve for x
    x = 86,894,664.61/10,677.17
  6. Step 6: Final answer
    x = 8,138.36

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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.