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Finding the Fourth Proportional to 7,771.14, 11,663.55 and 4,076.01

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Solution

The fourth proportional to 7,771.14, 11,663.55 and 4,076.01 is: 6,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.14 : 11,663.55 = 4,076.01 : x
  2. Step 2: Convert to fraction form
    7,771.14/11,663.55 = 4,076.01/x
  3. Step 3: Cross multiply
    7,771.14x = 11,663.55 × 4,076.01
  4. Step 4: Simplify right side
    7,771.14x = 47,540,746.44
  5. Step 5: Solve for x
    x = 47,540,746.44/7,771.14
  6. Step 6: Final answer
    x = 6,117.60

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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.