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Finding the Fourth Proportional to 10,573.38, 14,591.52 and 5,858.01

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Solution

The fourth proportional to 10,573.38, 14,591.52 and 5,858.01 is: 8,084.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.38 : 14,591.52 = 5,858.01 : x
  2. Step 2: Convert to fraction form
    10,573.38/14,591.52 = 5,858.01/x
  3. Step 3: Cross multiply
    10,573.38x = 14,591.52 × 5,858.01
  4. Step 4: Simplify right side
    10,573.38x = 85,477,270.08
  5. Step 5: Solve for x
    x = 85,477,270.08/10,573.38
  6. Step 6: Final answer
    x = 8,084.20

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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.