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Finding the Fourth Proportional to 10,838.59, 16,258.96 and 2,941.23

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Solution

The fourth proportional to 10,838.59, 16,258.96 and 2,941.23 is: 4,412.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,838.59 : 16,258.96 = 2,941.23 : x
  2. Step 2: Convert to fraction form
    10,838.59/16,258.96 = 2,941.23/x
  3. Step 3: Cross multiply
    10,838.59x = 16,258.96 × 2,941.23
  4. Step 4: Simplify right side
    10,838.59x = 47,821,259.63
  5. Step 5: Solve for x
    x = 47,821,259.63/10,838.59
  6. Step 6: Final answer
    x = 4,412.13

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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.