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Finding the Fourth Proportional to 10,838.72, 16,252.54 and 4,990.26

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Solution

The fourth proportional to 10,838.72, 16,252.54 and 4,990.26 is: 7,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.72 : 16,252.54 = 4,990.26 : x
  2. Step 2: Convert to fraction form
    10,838.72/16,252.54 = 4,990.26/x
  3. Step 3: Cross multiply
    10,838.72x = 16,252.54 × 4,990.26
  4. Step 4: Simplify right side
    10,838.72x = 81,104,400.26
  5. Step 5: Solve for x
    x = 81,104,400.26/10,838.72
  6. Step 6: Final answer
    x = 7,482.84

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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.