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Finding the Fourth Proportional to 12,860.68, 19,291.16 and 5,460.52

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Solution

The fourth proportional to 12,860.68, 19,291.16 and 5,460.52 is: 8,190.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,860.68 : 19,291.16 = 5,460.52 : x
  2. Step 2: Convert to fraction form
    12,860.68/19,291.16 = 5,460.52/x
  3. Step 3: Cross multiply
    12,860.68x = 19,291.16 × 5,460.52
  4. Step 4: Simplify right side
    12,860.68x = 105,339,765.00
  5. Step 5: Solve for x
    x = 105,339,765.00/12,860.68
  6. Step 6: Final answer
    x = 8,190.84

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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.