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Finding the Fourth Proportional to 7,774.84, 10,728.74 and 4,372.35

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Solution

The fourth proportional to 7,774.84, 10,728.74 and 4,372.35 is: 6,033.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,774.84 : 10,728.74 = 4,372.35 : x
  2. Step 2: Convert to fraction form
    7,774.84/10,728.74 = 4,372.35/x
  3. Step 3: Cross multiply
    7,774.84x = 10,728.74 × 4,372.35
  4. Step 4: Simplify right side
    7,774.84x = 46,909,842.97
  5. Step 5: Solve for x
    x = 46,909,842.97/7,774.84
  6. Step 6: Final answer
    x = 6,033.55

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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.