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Finding the Fourth Proportional to 7,409.76, 11,114.57 and 3,024.14

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Solution

The fourth proportional to 7,409.76, 11,114.57 and 3,024.14 is: 4,536.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409.76 : 11,114.57 = 3,024.14 : x
  2. Step 2: Convert to fraction form
    7,409.76/11,114.57 = 3,024.14/x
  3. Step 3: Cross multiply
    7,409.76x = 11,114.57 × 3,024.14
  4. Step 4: Simplify right side
    7,409.76x = 33,611,994.22
  5. Step 5: Solve for x
    x = 33,611,994.22/7,409.76
  6. Step 6: Final answer
    x = 4,536.18

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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.