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Finding the Fourth Proportional to 8,077.58, 12,111.41 and 3,141.47

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Solution

The fourth proportional to 8,077.58, 12,111.41 and 3,141.47 is: 4,710.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.58 : 12,111.41 = 3,141.47 : x
  2. Step 2: Convert to fraction form
    8,077.58/12,111.41 = 3,141.47/x
  3. Step 3: Cross multiply
    8,077.58x = 12,111.41 × 3,141.47
  4. Step 4: Simplify right side
    8,077.58x = 38,047,669.30
  5. Step 5: Solve for x
    x = 38,047,669.30/8,077.58
  6. Step 6: Final answer
    x = 4,710.28

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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.