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Finding the Fourth Proportional to 11,437.46, 15,775.21 and 8,076.77

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Solution

The fourth proportional to 11,437.46, 15,775.21 and 8,076.77 is: 11,139.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.46 : 15,775.21 = 8,076.77 : x
  2. Step 2: Convert to fraction form
    11,437.46/15,775.21 = 8,076.77/x
  3. Step 3: Cross multiply
    11,437.46x = 15,775.21 × 8,076.77
  4. Step 4: Simplify right side
    11,437.46x = 127,412,742.87
  5. Step 5: Solve for x
    x = 127,412,742.87/11,437.46
  6. Step 6: Final answer
    x = 11,139.95

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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.