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Finding the Fourth Proportional to 7,677.60, 11,540.70 and 7,094.40

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Solution

The fourth proportional to 7,677.60, 11,540.70 and 7,094.40 is: 10,664.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677.60 : 11,540.70 = 7,094.40 : x
  2. Step 2: Convert to fraction form
    7,677.60/11,540.70 = 7,094.40/x
  3. Step 3: Cross multiply
    7,677.60x = 11,540.70 × 7,094.40
  4. Step 4: Simplify right side
    7,677.60x = 81,874,342.08
  5. Step 5: Solve for x
    x = 81,874,342.08/7,677.60
  6. Step 6: Final answer
    x = 10,664.05

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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.