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Finding the Fourth Proportional to 7,774.42, 10,728.83 and 4,237.82

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Solution

The fourth proportional to 7,774.42, 10,728.83 and 4,237.82 is: 5,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.42 : 10,728.83 = 4,237.82 : x
  2. Step 2: Convert to fraction form
    7,774.42/10,728.83 = 4,237.82/x
  3. Step 3: Cross multiply
    7,774.42x = 10,728.83 × 4,237.82
  4. Step 4: Simplify right side
    7,774.42x = 45,466,829.16
  5. Step 5: Solve for x
    x = 45,466,829.16/7,774.42
  6. Step 6: Final answer
    x = 5,848.26

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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.