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Finding the Fourth Proportional to 7,774.93, 10,729.70 and 4,418.32

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Solution

The fourth proportional to 7,774.93, 10,729.70 and 4,418.32 is: 6,097.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.93 : 10,729.70 = 4,418.32 : x
  2. Step 2: Convert to fraction form
    7,774.93/10,729.70 = 4,418.32/x
  3. Step 3: Cross multiply
    7,774.93x = 10,729.70 × 4,418.32
  4. Step 4: Simplify right side
    7,774.93x = 47,407,172.36
  5. Step 5: Solve for x
    x = 47,407,172.36/7,774.93
  6. Step 6: Final answer
    x = 6,097.44

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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.