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Finding the Fourth Proportional to 12,788.11, 17,647.58 and 7,483.94

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Solution

The fourth proportional to 12,788.11, 17,647.58 and 7,483.94 is: 10,327.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,788.11 : 17,647.58 = 7,483.94 : x
  2. Step 2: Convert to fraction form
    12,788.11/17,647.58 = 7,483.94/x
  3. Step 3: Cross multiply
    12,788.11x = 17,647.58 × 7,483.94
  4. Step 4: Simplify right side
    12,788.11x = 132,073,360.34
  5. Step 5: Solve for x
    x = 132,073,360.34/12,788.11
  6. Step 6: Final answer
    x = 10,327.83

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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.