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Finding the Fourth Proportional to 10,838.26, 16,258.02 and 3,047.68

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Solution

The fourth proportional to 10,838.26, 16,258.02 and 3,047.68 is: 4,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.26 : 16,258.02 = 3,047.68 : x
  2. Step 2: Convert to fraction form
    10,838.26/16,258.02 = 3,047.68/x
  3. Step 3: Cross multiply
    10,838.26x = 16,258.02 × 3,047.68
  4. Step 4: Simplify right side
    10,838.26x = 49,549,242.39
  5. Step 5: Solve for x
    x = 49,549,242.39/10,838.26
  6. Step 6: Final answer
    x = 4,571.70

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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.