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Finding the Fourth Proportional to 7,180.14, 9,894.48 and 5,503.44

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Solution

The fourth proportional to 7,180.14, 9,894.48 and 5,503.44 is: 7,583.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,180.14 : 9,894.48 = 5,503.44 : x
  2. Step 2: Convert to fraction form
    7,180.14/9,894.48 = 5,503.44/x
  3. Step 3: Cross multiply
    7,180.14x = 9,894.48 × 5,503.44
  4. Step 4: Simplify right side
    7,180.14x = 54,453,677.01
  5. Step 5: Solve for x
    x = 54,453,677.01/7,180.14
  6. Step 6: Final answer
    x = 7,583.93

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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.