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Finding the Fourth Proportional to 7,765.01, 10,712.99 and 5,077.80

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Solution

The fourth proportional to 7,765.01, 10,712.99 and 5,077.80 is: 7,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.01 : 10,712.99 = 5,077.80 : x
  2. Step 2: Convert to fraction form
    7,765.01/10,712.99 = 5,077.80/x
  3. Step 3: Cross multiply
    7,765.01x = 10,712.99 × 5,077.80
  4. Step 4: Simplify right side
    7,765.01x = 54,398,435.41
  5. Step 5: Solve for x
    x = 54,398,435.41/7,765.01
  6. Step 6: Final answer
    x = 7,005.58

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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.