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Finding the Fourth Proportional to 7,397.94, 10,204.47 and 5,625.66

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Solution

The fourth proportional to 7,397.94, 10,204.47 and 5,625.66 is: 7,759.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,397.94 : 10,204.47 = 5,625.66 : x
  2. Step 2: Convert to fraction form
    7,397.94/10,204.47 = 5,625.66/x
  3. Step 3: Cross multiply
    7,397.94x = 10,204.47 × 5,625.66
  4. Step 4: Simplify right side
    7,397.94x = 57,406,878.70
  5. Step 5: Solve for x
    x = 57,406,878.70/7,397.94
  6. Step 6: Final answer
    x = 7,759.85

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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.