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Finding the Fourth Proportional to 10,294.06, 14,205.74 and 5,819.26

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Solution

The fourth proportional to 10,294.06, 14,205.74 and 5,819.26 is: 8,030.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,294.06 : 14,205.74 = 5,819.26 : x
  2. Step 2: Convert to fraction form
    10,294.06/14,205.74 = 5,819.26/x
  3. Step 3: Cross multiply
    10,294.06x = 14,205.74 × 5,819.26
  4. Step 4: Simplify right side
    10,294.06x = 82,666,894.55
  5. Step 5: Solve for x
    x = 82,666,894.55/10,294.06
  6. Step 6: Final answer
    x = 8,030.54

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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.