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Finding the Fourth Proportional to 7,940.40, 10,985.40 and 7,767.60

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Solution

The fourth proportional to 7,940.40, 10,985.40 and 7,767.60 is: 10,746.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,940.40 : 10,985.40 = 7,767.60 : x
  2. Step 2: Convert to fraction form
    7,940.40/10,985.40 = 7,767.60/x
  3. Step 3: Cross multiply
    7,940.40x = 10,985.40 × 7,767.60
  4. Step 4: Simplify right side
    7,940.40x = 85,330,193.04
  5. Step 5: Solve for x
    x = 85,330,193.04/7,940.40
  6. Step 6: Final answer
    x = 10,746.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.