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Finding the Fourth Proportional to 7,806.84, 11,702.10 and 3,420.60

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Solution

The fourth proportional to 7,806.84, 11,702.10 and 3,420.60 is: 5,127.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,806.84 : 11,702.10 = 3,420.60 : x
  2. Step 2: Convert to fraction form
    7,806.84/11,702.10 = 3,420.60/x
  3. Step 3: Cross multiply
    7,806.84x = 11,702.10 × 3,420.60
  4. Step 4: Simplify right side
    7,806.84x = 40,028,203.26
  5. Step 5: Solve for x
    x = 40,028,203.26/7,806.84
  6. Step 6: Final answer
    x = 5,127.32

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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.