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Finding the Fourth Proportional to 7,589.94, 11,363.44 and 4,023.93

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Solution

The fourth proportional to 7,589.94, 11,363.44 and 4,023.93 is: 6,024.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,589.94 : 11,363.44 = 4,023.93 : x
  2. Step 2: Convert to fraction form
    7,589.94/11,363.44 = 4,023.93/x
  3. Step 3: Cross multiply
    7,589.94x = 11,363.44 × 4,023.93
  4. Step 4: Simplify right side
    7,589.94x = 45,725,711.24
  5. Step 5: Solve for x
    x = 45,725,711.24/7,589.94
  6. Step 6: Final answer
    x = 6,024.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.