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Finding the Fourth Proportional to 12,856.80, 19,285.20 and 7,910.40

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Solution

The fourth proportional to 12,856.80, 19,285.20 and 7,910.40 is: 11,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,856.80 : 19,285.20 = 7,910.40 : x
  2. Step 2: Convert to fraction form
    12,856.80/19,285.20 = 7,910.40/x
  3. Step 3: Cross multiply
    12,856.80x = 19,285.20 × 7,910.40
  4. Step 4: Simplify right side
    12,856.80x = 152,553,646.08
  5. Step 5: Solve for x
    x = 152,553,646.08/12,856.80
  6. Step 6: Final answer
    x = 11,865.60

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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.