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Finding the Fourth Proportional to 12,878.59, 19,315.61 and 5,856.96

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Solution

The fourth proportional to 12,878.59, 19,315.61 and 5,856.96 is: 8,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,878.59 : 19,315.61 = 5,856.96 : x
  2. Step 2: Convert to fraction form
    12,878.59/19,315.61 = 5,856.96/x
  3. Step 3: Cross multiply
    12,878.59x = 19,315.61 × 5,856.96
  4. Step 4: Simplify right side
    12,878.59x = 113,130,755.15
  5. Step 5: Solve for x
    x = 113,130,755.15/12,878.59
  6. Step 6: Final answer
    x = 8,784.41

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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.