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Finding the Fourth Proportional to 7,873.02, 11,809.51 and 5,400.34

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Solution

The fourth proportional to 7,873.02, 11,809.51 and 5,400.34 is: 8,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,873.02 : 11,809.51 = 5,400.34 : x
  2. Step 2: Convert to fraction form
    7,873.02/11,809.51 = 5,400.34/x
  3. Step 3: Cross multiply
    7,873.02x = 11,809.51 × 5,400.34
  4. Step 4: Simplify right side
    7,873.02x = 63,775,370.49
  5. Step 5: Solve for x
    x = 63,775,370.49/7,873.02
  6. Step 6: Final answer
    x = 8,100.50

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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.