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Finding the Fourth Proportional to 7,777.58, 11,647.65 and 4,852.22

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Solution

The fourth proportional to 7,777.58, 11,647.65 and 4,852.22 is: 7,266.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,777.58 : 11,647.65 = 4,852.22 : x
  2. Step 2: Convert to fraction form
    7,777.58/11,647.65 = 4,852.22/x
  3. Step 3: Cross multiply
    7,777.58x = 11,647.65 × 4,852.22
  4. Step 4: Simplify right side
    7,777.58x = 56,516,960.28
  5. Step 5: Solve for x
    x = 56,516,960.28/7,777.58
  6. Step 6: Final answer
    x = 7,266.65

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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.