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Finding the Fourth Proportional to 10,535.41, 14,539.17 and 5,819.59

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Solution

The fourth proportional to 10,535.41, 14,539.17 and 5,819.59 is: 8,031.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.41 : 14,539.17 = 5,819.59 : x
  2. Step 2: Convert to fraction form
    10,535.41/14,539.17 = 5,819.59/x
  3. Step 3: Cross multiply
    10,535.41x = 14,539.17 × 5,819.59
  4. Step 4: Simplify right side
    10,535.41x = 84,612,008.34
  5. Step 5: Solve for x
    x = 84,612,008.34/10,535.41
  6. Step 6: Final answer
    x = 8,031.20

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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.