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Finding the Fourth Proportional to 7,770.10, 11,642.19 and 5,457.46

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Solution

The fourth proportional to 7,770.10, 11,642.19 and 5,457.46 is: 8,177.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,770.10 : 11,642.19 = 5,457.46 : x
  2. Step 2: Convert to fraction form
    7,770.10/11,642.19 = 5,457.46/x
  3. Step 3: Cross multiply
    7,770.10x = 11,642.19 × 5,457.46
  4. Step 4: Simplify right side
    7,770.10x = 63,536,786.24
  5. Step 5: Solve for x
    x = 63,536,786.24/7,770.10
  6. Step 6: Final answer
    x = 8,177.09

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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.