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Finding the Fourth Proportional to 10,535.42, 14,538.99 and 5,819.70

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Solution

The fourth proportional to 10,535.42, 14,538.99 and 5,819.70 is: 8,031.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,535.42 : 14,538.99 = 5,819.70 : x
  2. Step 2: Convert to fraction form
    10,535.42/14,538.99 = 5,819.70/x
  3. Step 3: Cross multiply
    10,535.42x = 14,538.99 × 5,819.70
  4. Step 4: Simplify right side
    10,535.42x = 84,612,521.93
  5. Step 5: Solve for x
    x = 84,612,521.93/10,535.42
  6. Step 6: Final answer
    x = 8,031.25

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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.