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Finding the Fourth Proportional to 7,562.97, 10,436.78 and 4,205.66

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Solution

The fourth proportional to 7,562.97, 10,436.78 and 4,205.66 is: 5,803.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,562.97 : 10,436.78 = 4,205.66 : x
  2. Step 2: Convert to fraction form
    7,562.97/10,436.78 = 4,205.66/x
  3. Step 3: Cross multiply
    7,562.97x = 10,436.78 × 4,205.66
  4. Step 4: Simplify right side
    7,562.97x = 43,893,506.51
  5. Step 5: Solve for x
    x = 43,893,506.51/7,562.97
  6. Step 6: Final answer
    x = 5,803.74

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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.