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Finding the Fourth Proportional to 7,120.86, 10,669.46 and 4,339.14

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Solution

The fourth proportional to 7,120.86, 10,669.46 and 4,339.14 is: 6,501.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,120.86 : 10,669.46 = 4,339.14 : x
  2. Step 2: Convert to fraction form
    7,120.86/10,669.46 = 4,339.14/x
  3. Step 3: Cross multiply
    7,120.86x = 10,669.46 × 4,339.14
  4. Step 4: Simplify right side
    7,120.86x = 46,296,258.97
  5. Step 5: Solve for x
    x = 46,296,258.97/7,120.86
  6. Step 6: Final answer
    x = 6,501.50

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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.