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Finding the Fourth Proportional to 7,978.55, 11,975.00 and 4,463.42

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Solution

The fourth proportional to 7,978.55, 11,975.00 and 4,463.42 is: 6,699.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,978.55 : 11,975.00 = 4,463.42 : x
  2. Step 2: Convert to fraction form
    7,978.55/11,975.00 = 4,463.42/x
  3. Step 3: Cross multiply
    7,978.55x = 11,975.00 × 4,463.42
  4. Step 4: Simplify right side
    7,978.55x = 53,449,372.31
  5. Step 5: Solve for x
    x = 53,449,372.31/7,978.55
  6. Step 6: Final answer
    x = 6,699.14

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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.