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Finding the Fourth Proportional to 7,573.34, 10,451.71 and 4,589.46

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Solution

The fourth proportional to 7,573.34, 10,451.71 and 4,589.46 is: 6,333.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.34 : 10,451.71 = 4,589.46 : x
  2. Step 2: Convert to fraction form
    7,573.34/10,451.71 = 4,589.46/x
  3. Step 3: Cross multiply
    7,573.34x = 10,451.71 × 4,589.46
  4. Step 4: Simplify right side
    7,573.34x = 47,967,725.37
  5. Step 5: Solve for x
    x = 47,967,725.37/7,573.34
  6. Step 6: Final answer
    x = 6,333.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.