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Finding the Fourth Proportional to 7,772.56, 10,726.25 and 4,235.76

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Solution

The fourth proportional to 7,772.56, 10,726.25 and 4,235.76 is: 5,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.56 : 10,726.25 = 4,235.76 : x
  2. Step 2: Convert to fraction form
    7,772.56/10,726.25 = 4,235.76/x
  3. Step 3: Cross multiply
    7,772.56x = 10,726.25 × 4,235.76
  4. Step 4: Simplify right side
    7,772.56x = 45,433,820.70
  5. Step 5: Solve for x
    x = 45,433,820.70/7,772.56
  6. Step 6: Final answer
    x = 5,845.41

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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.