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Finding the Fourth Proportional to 7,938.40, 11,893.20 and 4,856.80

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Solution

The fourth proportional to 7,938.40, 11,893.20 and 4,856.80 is: 7,276.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,938.40 : 11,893.20 = 4,856.80 : x
  2. Step 2: Convert to fraction form
    7,938.40/11,893.20 = 4,856.80/x
  3. Step 3: Cross multiply
    7,938.40x = 11,893.20 × 4,856.80
  4. Step 4: Simplify right side
    7,938.40x = 57,762,893.76
  5. Step 5: Solve for x
    x = 57,762,893.76/7,938.40
  6. Step 6: Final answer
    x = 7,276.39

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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.