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Finding the Fourth Proportional to 11,458.78, 15,814.39 and 6,423.49

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Solution

The fourth proportional to 11,458.78, 15,814.39 and 6,423.49 is: 8,865.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,458.78 : 15,814.39 = 6,423.49 : x
  2. Step 2: Convert to fraction form
    11,458.78/15,814.39 = 6,423.49/x
  3. Step 3: Cross multiply
    11,458.78x = 15,814.39 × 6,423.49
  4. Step 4: Simplify right side
    11,458.78x = 101,583,576.02
  5. Step 5: Solve for x
    x = 101,583,576.02/11,458.78
  6. Step 6: Final answer
    x = 8,865.13

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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.