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Finding the Fourth Proportional to 7,772.72, 10,726.14 and 4,236

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Solution

The fourth proportional to 7,772.72, 10,726.14 and 4,236 is: 5,845.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.72 : 10,726.14 = 4,236 : x
  2. Step 2: Convert to fraction form
    7,772.72/10,726.14 = 4,236/x
  3. Step 3: Cross multiply
    7,772.72x = 10,726.14 × 4,236
  4. Step 4: Simplify right side
    7,772.72x = 45,435,929.04
  5. Step 5: Solve for x
    x = 45,435,929.04/7,772.72
  6. Step 6: Final answer
    x = 5,845.56

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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.