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Finding the Fourth Proportional to 11,437.96, 15,775.90 and 8,077.27

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Solution

The fourth proportional to 11,437.96, 15,775.90 and 8,077.27 is: 11,140.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,437.96 : 15,775.90 = 8,077.27 : x
  2. Step 2: Convert to fraction form
    11,437.96/15,775.90 = 8,077.27/x
  3. Step 3: Cross multiply
    11,437.96x = 15,775.90 × 8,077.27
  4. Step 4: Simplify right side
    11,437.96x = 127,426,203.79
  5. Step 5: Solve for x
    x = 127,426,203.79/11,437.96
  6. Step 6: Final answer
    x = 11,140.64

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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.