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Finding the Fourth Proportional to 8,775.98, 12,109.77 and 5,238.50

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Solution

The fourth proportional to 8,775.98, 12,109.77 and 5,238.50 is: 7,228.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,775.98 : 12,109.77 = 5,238.50 : x
  2. Step 2: Convert to fraction form
    8,775.98/12,109.77 = 5,238.50/x
  3. Step 3: Cross multiply
    8,775.98x = 12,109.77 × 5,238.50
  4. Step 4: Simplify right side
    8,775.98x = 63,437,030.15
  5. Step 5: Solve for x
    x = 63,437,030.15/8,775.98
  6. Step 6: Final answer
    x = 7,228.48

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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.