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Finding the Fourth Proportional to 10,950.32, 16,429.74 and 4,378.38

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Solution

The fourth proportional to 10,950.32, 16,429.74 and 4,378.38 is: 6,569.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,950.32 : 16,429.74 = 4,378.38 : x
  2. Step 2: Convert to fraction form
    10,950.32/16,429.74 = 4,378.38/x
  3. Step 3: Cross multiply
    10,950.32x = 16,429.74 × 4,378.38
  4. Step 4: Simplify right side
    10,950.32x = 71,935,694.83
  5. Step 5: Solve for x
    x = 71,935,694.83/10,950.32
  6. Step 6: Final answer
    x = 6,569.28

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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.