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Finding the Fourth Proportional to 10,475.37, 14,456.04 and 5,759.64

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Solution

The fourth proportional to 10,475.37, 14,456.04 and 5,759.64 is: 7,948.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,475.37 : 14,456.04 = 5,759.64 : x
  2. Step 2: Convert to fraction form
    10,475.37/14,456.04 = 5,759.64/x
  3. Step 3: Cross multiply
    10,475.37x = 14,456.04 × 5,759.64
  4. Step 4: Simplify right side
    10,475.37x = 83,261,586.23
  5. Step 5: Solve for x
    x = 83,261,586.23/10,475.37
  6. Step 6: Final answer
    x = 7,948.32

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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.