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Finding the Fourth Proportional to 7,772.94, 10,726.66 and 4,236.15

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Solution

The fourth proportional to 7,772.94, 10,726.66 and 4,236.15 is: 5,845.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.94 : 10,726.66 = 4,236.15 : x
  2. Step 2: Convert to fraction form
    7,772.94/10,726.66 = 4,236.15/x
  3. Step 3: Cross multiply
    7,772.94x = 10,726.66 × 4,236.15
  4. Step 4: Simplify right side
    7,772.94x = 45,439,740.76
  5. Step 5: Solve for x
    x = 45,439,740.76/7,772.94
  6. Step 6: Final answer
    x = 5,845.89

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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.