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Finding the Fourth Proportional to 7,686.56, 11,533.44 and 3,788.84

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Solution

The fourth proportional to 7,686.56, 11,533.44 and 3,788.84 is: 5,685.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,686.56 : 11,533.44 = 3,788.84 : x
  2. Step 2: Convert to fraction form
    7,686.56/11,533.44 = 3,788.84/x
  3. Step 3: Cross multiply
    7,686.56x = 11,533.44 × 3,788.84
  4. Step 4: Simplify right side
    7,686.56x = 43,698,358.81
  5. Step 5: Solve for x
    x = 43,698,358.81/7,686.56
  6. Step 6: Final answer
    x = 5,685.03

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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.