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Finding the Fourth Proportional to 6,706.19, 10,056.57 and 2,024.75

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Solution

The fourth proportional to 6,706.19, 10,056.57 and 2,024.75 is: 3,036.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,706.19 : 10,056.57 = 2,024.75 : x
  2. Step 2: Convert to fraction form
    6,706.19/10,056.57 = 2,024.75/x
  3. Step 3: Cross multiply
    6,706.19x = 10,056.57 × 2,024.75
  4. Step 4: Simplify right side
    6,706.19x = 20,362,040.11
  5. Step 5: Solve for x
    x = 20,362,040.11/6,706.19
  6. Step 6: Final answer
    x = 3,036.31

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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.