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Finding the Fourth Proportional to 10,284.93, 14,193.11 and 5,809.54

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Solution

The fourth proportional to 10,284.93, 14,193.11 and 5,809.54 is: 8,017.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,284.93 : 14,193.11 = 5,809.54 : x
  2. Step 2: Convert to fraction form
    10,284.93/14,193.11 = 5,809.54/x
  3. Step 3: Cross multiply
    10,284.93x = 14,193.11 × 5,809.54
  4. Step 4: Simplify right side
    10,284.93x = 82,455,440.27
  5. Step 5: Solve for x
    x = 82,455,440.27/10,284.93
  6. Step 6: Final answer
    x = 8,017.11

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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.