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Finding the Fourth Proportional to 7,876.60, 11,815.02 and 3,981.16

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Solution

The fourth proportional to 7,876.60, 11,815.02 and 3,981.16 is: 5,971.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,876.60 : 11,815.02 = 3,981.16 : x
  2. Step 2: Convert to fraction form
    7,876.60/11,815.02 = 3,981.16/x
  3. Step 3: Cross multiply
    7,876.60x = 11,815.02 × 3,981.16
  4. Step 4: Simplify right side
    7,876.60x = 47,037,485.02
  5. Step 5: Solve for x
    x = 47,037,485.02/7,876.60
  6. Step 6: Final answer
    x = 5,971.80

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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.