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Finding the Fourth Proportional to 10,573.50, 15,860.38 and 5,027.38

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Solution

The fourth proportional to 10,573.50, 15,860.38 and 5,027.38 is: 7,541.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,573.50 : 15,860.38 = 5,027.38 : x
  2. Step 2: Convert to fraction form
    10,573.50/15,860.38 = 5,027.38/x
  3. Step 3: Cross multiply
    10,573.50x = 15,860.38 × 5,027.38
  4. Step 4: Simplify right side
    10,573.50x = 79,736,157.20
  5. Step 5: Solve for x
    x = 79,736,157.20/10,573.50
  6. Step 6: Final answer
    x = 7,541.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.