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Finding the Fourth Proportional to 10,367.02, 14,305.94 and 5,890.15

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Solution

The fourth proportional to 10,367.02, 14,305.94 and 5,890.15 is: 8,128.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,367.02 : 14,305.94 = 5,890.15 : x
  2. Step 2: Convert to fraction form
    10,367.02/14,305.94 = 5,890.15/x
  3. Step 3: Cross multiply
    10,367.02x = 14,305.94 × 5,890.15
  4. Step 4: Simplify right side
    10,367.02x = 84,264,176.14
  5. Step 5: Solve for x
    x = 84,264,176.14/10,367.02
  6. Step 6: Final answer
    x = 8,128.10

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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.