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Finding the Fourth Proportional to 7,577.88, 11,355.06 and 5,103.96

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Solution

The fourth proportional to 7,577.88, 11,355.06 and 5,103.96 is: 7,648.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577.88 : 11,355.06 = 5,103.96 : x
  2. Step 2: Convert to fraction form
    7,577.88/11,355.06 = 5,103.96/x
  3. Step 3: Cross multiply
    7,577.88x = 11,355.06 × 5,103.96
  4. Step 4: Simplify right side
    7,577.88x = 57,955,772.04
  5. Step 5: Solve for x
    x = 57,955,772.04/7,577.88
  6. Step 6: Final answer
    x = 7,648.02

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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.