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Finding the Fourth Proportional to 10,471.37, 15,709.37 and 3,075.86

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Solution

The fourth proportional to 10,471.37, 15,709.37 and 3,075.86 is: 4,614.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.37 : 15,709.37 = 3,075.86 : x
  2. Step 2: Convert to fraction form
    10,471.37/15,709.37 = 3,075.86/x
  3. Step 3: Cross multiply
    10,471.37x = 15,709.37 × 3,075.86
  4. Step 4: Simplify right side
    10,471.37x = 48,319,728.88
  5. Step 5: Solve for x
    x = 48,319,728.88/10,471.37
  6. Step 6: Final answer
    x = 4,614.46

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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.