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Finding the Fourth Proportional to 10,838.13, 16,257.20 and 3,047.01

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Solution

The fourth proportional to 10,838.13, 16,257.20 and 3,047.01 is: 4,570.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.13 : 16,257.20 = 3,047.01 : x
  2. Step 2: Convert to fraction form
    10,838.13/16,257.20 = 3,047.01/x
  3. Step 3: Cross multiply
    10,838.13x = 16,257.20 × 3,047.01
  4. Step 4: Simplify right side
    10,838.13x = 49,535,835.74
  5. Step 5: Solve for x
    x = 49,535,835.74/10,838.13
  6. Step 6: Final answer
    x = 4,570.52

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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.