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Finding the Fourth Proportional to 10,573.74, 14,592.21 and 5,858.02

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Solution

The fourth proportional to 10,573.74, 14,592.21 and 5,858.02 is: 8,084.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.74 : 14,592.21 = 5,858.02 : x
  2. Step 2: Convert to fraction form
    10,573.74/14,592.21 = 5,858.02/x
  3. Step 3: Cross multiply
    10,573.74x = 14,592.21 × 5,858.02
  4. Step 4: Simplify right side
    10,573.74x = 85,481,458.02
  5. Step 5: Solve for x
    x = 85,481,458.02/10,573.74
  6. Step 6: Final answer
    x = 8,084.32

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Why These Related Problems?

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