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Finding the Fourth Proportional to 10,398.89, 14,350.15 and 5,923.28

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Solution

The fourth proportional to 10,398.89, 14,350.15 and 5,923.28 is: 8,173.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,398.89 : 14,350.15 = 5,923.28 : x
  2. Step 2: Convert to fraction form
    10,398.89/14,350.15 = 5,923.28/x
  3. Step 3: Cross multiply
    10,398.89x = 14,350.15 × 5,923.28
  4. Step 4: Simplify right side
    10,398.89x = 84,999,999.77
  5. Step 5: Solve for x
    x = 84,999,999.77/10,398.89
  6. Step 6: Final answer
    x = 8,173.95

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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.