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Finding the Fourth Proportional to 10,838.32, 16,253.80 and 3,045.32

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Solution

The fourth proportional to 10,838.32, 16,253.80 and 3,045.32 is: 4,566.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.32 : 16,253.80 = 3,045.32 : x
  2. Step 2: Convert to fraction form
    10,838.32/16,253.80 = 3,045.32/x
  3. Step 3: Cross multiply
    10,838.32x = 16,253.80 × 3,045.32
  4. Step 4: Simplify right side
    10,838.32x = 49,498,022.22
  5. Step 5: Solve for x
    x = 49,498,022.22/10,838.32
  6. Step 6: Final answer
    x = 4,566.95

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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.