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Finding the Fourth Proportional to 7,772.54, 10,726.43 and 4,235.94

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Solution

The fourth proportional to 7,772.54, 10,726.43 and 4,235.94 is: 5,845.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.54 : 10,726.43 = 4,235.94 : x
  2. Step 2: Convert to fraction form
    7,772.54/10,726.43 = 4,235.94/x
  3. Step 3: Cross multiply
    7,772.54x = 10,726.43 × 4,235.94
  4. Step 4: Simplify right side
    7,772.54x = 45,436,492.71
  5. Step 5: Solve for x
    x = 45,436,492.71/7,772.54
  6. Step 6: Final answer
    x = 5,845.78

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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.