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Finding the Fourth Proportional to 7,473.60, 11,188.26 and 5,534.46

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Solution

The fourth proportional to 7,473.60, 11,188.26 and 5,534.46 is: 8,285.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,473.60 : 11,188.26 = 5,534.46 : x
  2. Step 2: Convert to fraction form
    7,473.60/11,188.26 = 5,534.46/x
  3. Step 3: Cross multiply
    7,473.60x = 11,188.26 × 5,534.46
  4. Step 4: Simplify right side
    7,473.60x = 61,920,977.44
  5. Step 5: Solve for x
    x = 61,920,977.44/7,473.60
  6. Step 6: Final answer
    x = 8,285.29

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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.