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Finding the Fourth Proportional to 7,562.83, 10,436.66 and 4,205.44

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Solution

The fourth proportional to 7,562.83, 10,436.66 and 4,205.44 is: 5,803.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.83 : 10,436.66 = 4,205.44 : x
  2. Step 2: Convert to fraction form
    7,562.83/10,436.66 = 4,205.44/x
  3. Step 3: Cross multiply
    7,562.83x = 10,436.66 × 4,205.44
  4. Step 4: Simplify right side
    7,562.83x = 43,890,774.79
  5. Step 5: Solve for x
    x = 43,890,774.79/7,562.83
  6. Step 6: Final answer
    x = 5,803.49

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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.