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Finding the Fourth Proportional to 10,535.66, 14,539.20 and 5,819.94

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Solution

The fourth proportional to 10,535.66, 14,539.20 and 5,819.94 is: 8,031.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.66 : 14,539.20 = 5,819.94 : x
  2. Step 2: Convert to fraction form
    10,535.66/14,539.20 = 5,819.94/x
  3. Step 3: Cross multiply
    10,535.66x = 14,539.20 × 5,819.94
  4. Step 4: Simplify right side
    10,535.66x = 84,617,213.50
  5. Step 5: Solve for x
    x = 84,617,213.50/10,535.66
  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.