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Finding the Fourth Proportional to 7,878.66, 10,795.41 and 7,762.02

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Solution

The fourth proportional to 7,878.66, 10,795.41 and 7,762.02 is: 10,635.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,878.66 : 10,795.41 = 7,762.02 : x
  2. Step 2: Convert to fraction form
    7,878.66/10,795.41 = 7,762.02/x
  3. Step 3: Cross multiply
    7,878.66x = 10,795.41 × 7,762.02
  4. Step 4: Simplify right side
    7,878.66x = 83,794,188.33
  5. Step 5: Solve for x
    x = 83,794,188.33/7,878.66
  6. Step 6: Final answer
    x = 10,635.59

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.