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Finding the Fourth Proportional to 7,706.16, 11,551.95 and 3,806.01

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Solution

The fourth proportional to 7,706.16, 11,551.95 and 3,806.01 is: 5,705.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,706.16 : 11,551.95 = 3,806.01 : x
  2. Step 2: Convert to fraction form
    7,706.16/11,551.95 = 3,806.01/x
  3. Step 3: Cross multiply
    7,706.16x = 11,551.95 × 3,806.01
  4. Step 4: Simplify right side
    7,706.16x = 43,966,837.22
  5. Step 5: Solve for x
    x = 43,966,837.22/7,706.16
  6. Step 6: Final answer
    x = 5,705.41

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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.