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Finding the Fourth Proportional to 11,595.10, 15,996.27 and 7,820.70

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Solution

The fourth proportional to 11,595.10, 15,996.27 and 7,820.70 is: 10,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,595.10 : 15,996.27 = 7,820.70 : x
  2. Step 2: Convert to fraction form
    11,595.10/15,996.27 = 7,820.70/x
  3. Step 3: Cross multiply
    11,595.10x = 15,996.27 × 7,820.70
  4. Step 4: Simplify right side
    11,595.10x = 125,102,028.79
  5. Step 5: Solve for x
    x = 125,102,028.79/11,595.10
  6. Step 6: Final answer
    x = 10,789.22

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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.