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Finding the Fourth Proportional to 8,826.50, 12,180.57 and 5,100.50

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Solution

The fourth proportional to 8,826.50, 12,180.57 and 5,100.50 is: 7,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,826.50 : 12,180.57 = 5,100.50 : x
  2. Step 2: Convert to fraction form
    8,826.50/12,180.57 = 5,100.50/x
  3. Step 3: Cross multiply
    8,826.50x = 12,180.57 × 5,100.50
  4. Step 4: Simplify right side
    8,826.50x = 62,126,997.29
  5. Step 5: Solve for x
    x = 62,126,997.29/8,826.50
  6. Step 6: Final answer
    x = 7,038.69

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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.