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Finding the Fourth Proportional to 7,743.74, 11,623.80 and 4,824.10

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Solution

The fourth proportional to 7,743.74, 11,623.80 and 4,824.10 is: 7,241.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,743.74 : 11,623.80 = 4,824.10 : x
  2. Step 2: Convert to fraction form
    7,743.74/11,623.80 = 4,824.10/x
  3. Step 3: Cross multiply
    7,743.74x = 11,623.80 × 4,824.10
  4. Step 4: Simplify right side
    7,743.74x = 56,074,373.58
  5. Step 5: Solve for x
    x = 56,074,373.58/7,743.74
  6. Step 6: Final answer
    x = 7,241.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.