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Finding the Fourth Proportional to 7,772.60, 10,726.40 and 4,235.88

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Solution

The fourth proportional to 7,772.60, 10,726.40 and 4,235.88 is: 5,845.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.60 : 10,726.40 = 4,235.88 : x
  2. Step 2: Convert to fraction form
    7,772.60/10,726.40 = 4,235.88/x
  3. Step 3: Cross multiply
    7,772.60x = 10,726.40 × 4,235.88
  4. Step 4: Simplify right side
    7,772.60x = 45,435,743.23
  5. Step 5: Solve for x
    x = 45,435,743.23/7,772.60
  6. Step 6: Final answer
    x = 5,845.63

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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.