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Finding the Fourth Proportional to 7,771.95, 10,722.07 and 5,415.46

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Solution

The fourth proportional to 7,771.95, 10,722.07 and 5,415.46 is: 7,471.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,771.95 : 10,722.07 = 5,415.46 : x
  2. Step 2: Convert to fraction form
    7,771.95/10,722.07 = 5,415.46/x
  3. Step 3: Cross multiply
    7,771.95x = 10,722.07 × 5,415.46
  4. Step 4: Simplify right side
    7,771.95x = 58,064,921.17
  5. Step 5: Solve for x
    x = 58,064,921.17/7,771.95
  6. Step 6: Final answer
    x = 7,471.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.