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Finding the Fourth Proportional to 7,774.34, 10,728.48 and 4,237.57

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Solution

The fourth proportional to 7,774.34, 10,728.48 and 4,237.57 is: 5,847.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.34 : 10,728.48 = 4,237.57 : x
  2. Step 2: Convert to fraction form
    7,774.34/10,728.48 = 4,237.57/x
  3. Step 3: Cross multiply
    7,774.34x = 10,728.48 × 4,237.57
  4. Step 4: Simplify right side
    7,774.34x = 45,462,674.06
  5. Step 5: Solve for x
    x = 45,462,674.06/7,774.34
  6. Step 6: Final answer
    x = 5,847.78

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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.