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Finding the Fourth Proportional to 10,295.13, 14,208 and 5,819.30

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Solution

The fourth proportional to 10,295.13, 14,208 and 5,819.30 is: 8,031.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,295.13 : 14,208 = 5,819.30 : x
  2. Step 2: Convert to fraction form
    10,295.13/14,208 = 5,819.30/x
  3. Step 3: Cross multiply
    10,295.13x = 14,208 × 5,819.30
  4. Step 4: Simplify right side
    10,295.13x = 82,680,614.40
  5. Step 5: Solve for x
    x = 82,680,614.40/10,295.13
  6. Step 6: Final answer
    x = 8,031.04

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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.