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Finding the Fourth Proportional to 7,771.36, 11,656.56 and 3,154.24

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Solution

The fourth proportional to 7,771.36, 11,656.56 and 3,154.24 is: 4,731.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.36 : 11,656.56 = 3,154.24 : x
  2. Step 2: Convert to fraction form
    7,771.36/11,656.56 = 3,154.24/x
  3. Step 3: Cross multiply
    7,771.36x = 11,656.56 × 3,154.24
  4. Step 4: Simplify right side
    7,771.36x = 36,767,587.81
  5. Step 5: Solve for x
    x = 36,767,587.81/7,771.36
  6. Step 6: Final answer
    x = 4,731.17

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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.