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Finding the Fourth Proportional to 7,775.37, 10,730.06 and 4,418.37

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Solution

The fourth proportional to 7,775.37, 10,730.06 and 4,418.37 is: 6,097.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.37 : 10,730.06 = 4,418.37 : x
  2. Step 2: Convert to fraction form
    7,775.37/10,730.06 = 4,418.37/x
  3. Step 3: Cross multiply
    7,775.37x = 10,730.06 × 4,418.37
  4. Step 4: Simplify right side
    7,775.37x = 47,409,353.11
  5. Step 5: Solve for x
    x = 47,409,353.11/7,775.37
  6. Step 6: Final answer
    x = 6,097.38

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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.