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Finding the Fourth Proportional to 12,780.78, 19,189.26 and 7,245

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Solution

The fourth proportional to 12,780.78, 19,189.26 and 7,245 is: 10,877.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,780.78 : 19,189.26 = 7,245 : x
  2. Step 2: Convert to fraction form
    12,780.78/19,189.26 = 7,245/x
  3. Step 3: Cross multiply
    12,780.78x = 19,189.26 × 7,245
  4. Step 4: Simplify right side
    12,780.78x = 139,026,188.70
  5. Step 5: Solve for x
    x = 139,026,188.70/12,780.78
  6. Step 6: Final answer
    x = 10,877.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.