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Finding the Fourth Proportional to 12,589.95, 18,884.55 and 5,188.77

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Solution

The fourth proportional to 12,589.95, 18,884.55 and 5,188.77 is: 7,783.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,589.95 : 18,884.55 = 5,188.77 : x
  2. Step 2: Convert to fraction form
    12,589.95/18,884.55 = 5,188.77/x
  3. Step 3: Cross multiply
    12,589.95x = 18,884.55 × 5,188.77
  4. Step 4: Simplify right side
    12,589.95x = 97,987,586.50
  5. Step 5: Solve for x
    x = 97,987,586.50/12,589.95
  6. Step 6: Final answer
    x = 7,783.00

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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.