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Finding the Fourth Proportional to 7,698.89, 11,548.23 and 1,855.45

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Solution

The fourth proportional to 7,698.89, 11,548.23 and 1,855.45 is: 2,783.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,698.89 : 11,548.23 = 1,855.45 : x
  2. Step 2: Convert to fraction form
    7,698.89/11,548.23 = 1,855.45/x
  3. Step 3: Cross multiply
    7,698.89x = 11,548.23 × 1,855.45
  4. Step 4: Simplify right side
    7,698.89x = 21,427,106.61
  5. Step 5: Solve for x
    x = 21,427,106.61/7,698.89
  6. Step 6: Final answer
    x = 2,783.14

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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.