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Finding the Fourth Proportional to 10,292.81, 14,204.09 and 6,043.04

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Solution

The fourth proportional to 10,292.81, 14,204.09 and 6,043.04 is: 8,339.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,292.81 : 14,204.09 = 6,043.04 : x
  2. Step 2: Convert to fraction form
    10,292.81/14,204.09 = 6,043.04/x
  3. Step 3: Cross multiply
    10,292.81x = 14,204.09 × 6,043.04
  4. Step 4: Simplify right side
    10,292.81x = 85,835,884.03
  5. Step 5: Solve for x
    x = 85,835,884.03/10,292.81
  6. Step 6: Final answer
    x = 8,339.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.