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Finding the Fourth Proportional to 12,860.37, 17,742.24 and 8,077.50

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Solution

The fourth proportional to 12,860.37, 17,742.24 and 8,077.50 is: 11,143.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.37 : 17,742.24 = 8,077.50 : x
  2. Step 2: Convert to fraction form
    12,860.37/17,742.24 = 8,077.50/x
  3. Step 3: Cross multiply
    12,860.37x = 17,742.24 × 8,077.50
  4. Step 4: Simplify right side
    12,860.37x = 143,312,943.60
  5. Step 5: Solve for x
    x = 143,312,943.60/12,860.37
  6. Step 6: Final answer
    x = 11,143.77

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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.