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Finding the Fourth Proportional to 7,772.59, 10,726.19 and 4,235.80

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Solution

The fourth proportional to 7,772.59, 10,726.19 and 4,235.80 is: 5,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.59 : 10,726.19 = 4,235.80 : x
  2. Step 2: Convert to fraction form
    7,772.59/10,726.19 = 4,235.80/x
  3. Step 3: Cross multiply
    7,772.59x = 10,726.19 × 4,235.80
  4. Step 4: Simplify right side
    7,772.59x = 45,433,947.61
  5. Step 5: Solve for x
    x = 45,433,947.61/7,772.59
  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.