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Finding the Fourth Proportional to 7,409.80, 11,114.70 and 7,118.20

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Solution

The fourth proportional to 7,409.80, 11,114.70 and 7,118.20 is: 10,677.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.80 : 11,114.70 = 7,118.20 : x
  2. Step 2: Convert to fraction form
    7,409.80/11,114.70 = 7,118.20/x
  3. Step 3: Cross multiply
    7,409.80x = 11,114.70 × 7,118.20
  4. Step 4: Simplify right side
    7,409.80x = 79,116,657.54
  5. Step 5: Solve for x
    x = 79,116,657.54/7,409.80
  6. Step 6: Final answer
    x = 10,677.30

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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.