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Finding the Fourth Proportional to 7,257.16, 10,014.32 and 4,113.56

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Solution

The fourth proportional to 7,257.16, 10,014.32 and 4,113.56 is: 5,676.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,257.16 : 10,014.32 = 4,113.56 : x
  2. Step 2: Convert to fraction form
    7,257.16/10,014.32 = 4,113.56/x
  3. Step 3: Cross multiply
    7,257.16x = 10,014.32 × 4,113.56
  4. Step 4: Simplify right side
    7,257.16x = 41,194,506.18
  5. Step 5: Solve for x
    x = 41,194,506.18/7,257.16
  6. Step 6: Final answer
    x = 5,676.39

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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.