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Finding the Fourth Proportional to 7,796.48, 11,703.90 and 6,154.16

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Solution

The fourth proportional to 7,796.48, 11,703.90 and 6,154.16 is: 9,238.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,796.48 : 11,703.90 = 6,154.16 : x
  2. Step 2: Convert to fraction form
    7,796.48/11,703.90 = 6,154.16/x
  3. Step 3: Cross multiply
    7,796.48x = 11,703.90 × 6,154.16
  4. Step 4: Simplify right side
    7,796.48x = 72,027,673.22
  5. Step 5: Solve for x
    x = 72,027,673.22/7,796.48
  6. Step 6: Final answer
    x = 9,238.49

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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.