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Finding the Fourth Proportional to 7,548.96, 11,314.80 and 2,928

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Solution

The fourth proportional to 7,548.96, 11,314.80 and 2,928 is: 4,388.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,548.96 : 11,314.80 = 2,928 : x
  2. Step 2: Convert to fraction form
    7,548.96/11,314.80 = 2,928/x
  3. Step 3: Cross multiply
    7,548.96x = 11,314.80 × 2,928
  4. Step 4: Simplify right side
    7,548.96x = 33,129,734.40
  5. Step 5: Solve for x
    x = 33,129,734.40/7,548.96
  6. Step 6: Final answer
    x = 4,388.65

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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.