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Finding the Fourth Proportional to 10,398.58, 14,350.16 and 5,922.92

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Solution

The fourth proportional to 10,398.58, 14,350.16 and 5,922.92 is: 8,173.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.58 : 14,350.16 = 5,922.92 : x
  2. Step 2: Convert to fraction form
    10,398.58/14,350.16 = 5,922.92/x
  3. Step 3: Cross multiply
    10,398.58x = 14,350.16 × 5,922.92
  4. Step 4: Simplify right side
    10,398.58x = 84,994,900.35
  5. Step 5: Solve for x
    x = 84,994,900.35/10,398.58
  6. Step 6: Final answer
    x = 8,173.70

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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.