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Finding the Fourth Proportional to 8,447.45, 12,665.80 and 7,409.53

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Solution

The fourth proportional to 8,447.45, 12,665.80 and 7,409.53 is: 11,109.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,447.45 : 12,665.80 = 7,409.53 : x
  2. Step 2: Convert to fraction form
    8,447.45/12,665.80 = 7,409.53/x
  3. Step 3: Cross multiply
    8,447.45x = 12,665.80 × 7,409.53
  4. Step 4: Simplify right side
    8,447.45x = 93,847,625.07
  5. Step 5: Solve for x
    x = 93,847,625.07/8,447.45
  6. Step 6: Final answer
    x = 11,109.58

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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.