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Finding the Fourth Proportional to 10,255.34, 15,368.16 and 5,571.38

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Solution

The fourth proportional to 10,255.34, 15,368.16 and 5,571.38 is: 8,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255.34 : 15,368.16 = 5,571.38 : x
  2. Step 2: Convert to fraction form
    10,255.34/15,368.16 = 5,571.38/x
  3. Step 3: Cross multiply
    10,255.34x = 15,368.16 × 5,571.38
  4. Step 4: Simplify right side
    10,255.34x = 85,621,859.26
  5. Step 5: Solve for x
    x = 85,621,859.26/10,255.34
  6. Step 6: Final answer
    x = 8,349.00

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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.