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Finding the Fourth Proportional to 10,838.04, 16,257.12 and 3,046.92

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Solution

The fourth proportional to 10,838.04, 16,257.12 and 3,046.92 is: 4,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.04 : 16,257.12 = 3,046.92 : x
  2. Step 2: Convert to fraction form
    10,838.04/16,257.12 = 3,046.92/x
  3. Step 3: Cross multiply
    10,838.04x = 16,257.12 × 3,046.92
  4. Step 4: Simplify right side
    10,838.04x = 49,534,144.07
  5. Step 5: Solve for x
    x = 49,534,144.07/10,838.04
  6. Step 6: Final answer
    x = 4,570.40

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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.