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Finding the Fourth Proportional to 8,539.76, 11,782.87 and 5,182.50

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Solution

The fourth proportional to 8,539.76, 11,782.87 and 5,182.50 is: 7,150.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,539.76 : 11,782.87 = 5,182.50 : x
  2. Step 2: Convert to fraction form
    8,539.76/11,782.87 = 5,182.50/x
  3. Step 3: Cross multiply
    8,539.76x = 11,782.87 × 5,182.50
  4. Step 4: Simplify right side
    8,539.76x = 61,064,688.73
  5. Step 5: Solve for x
    x = 61,064,688.73/8,539.76
  6. Step 6: Final answer
    x = 7,150.63

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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.