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Finding the Fourth Proportional to 10,763.46, 16,148.43 and 3,838.50

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Solution

The fourth proportional to 10,763.46, 16,148.43 and 3,838.50 is: 5,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,763.46 : 16,148.43 = 3,838.50 : x
  2. Step 2: Convert to fraction form
    10,763.46/16,148.43 = 3,838.50/x
  3. Step 3: Cross multiply
    10,763.46x = 16,148.43 × 3,838.50
  4. Step 4: Simplify right side
    10,763.46x = 61,985,748.56
  5. Step 5: Solve for x
    x = 61,985,748.56/10,763.46
  6. Step 6: Final answer
    x = 5,758.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.