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Finding the Fourth Proportional to 10,343.52, 14,274.89 and 5,806.10

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Solution

The fourth proportional to 10,343.52, 14,274.89 and 5,806.10 is: 8,012.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.52 : 14,274.89 = 5,806.10 : x
  2. Step 2: Convert to fraction form
    10,343.52/14,274.89 = 5,806.10/x
  3. Step 3: Cross multiply
    10,343.52x = 14,274.89 × 5,806.10
  4. Step 4: Simplify right side
    10,343.52x = 82,881,438.83
  5. Step 5: Solve for x
    x = 82,881,438.83/10,343.52
  6. Step 6: Final answer
    x = 8,012.89

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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.