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Finding the Fourth Proportional to 10,356.41, 14,292.62 and 5,819.62

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Solution

The fourth proportional to 10,356.41, 14,292.62 and 5,819.62 is: 8,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,356.41 : 14,292.62 = 5,819.62 : x
  2. Step 2: Convert to fraction form
    10,356.41/14,292.62 = 5,819.62/x
  3. Step 3: Cross multiply
    10,356.41x = 14,292.62 × 5,819.62
  4. Step 4: Simplify right side
    10,356.41x = 83,177,596.02
  5. Step 5: Solve for x
    x = 83,177,596.02/10,356.41
  6. Step 6: Final answer
    x = 8,031.51

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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.