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Finding the Fourth Proportional to 11,463.93, 15,820.55 and 6,428.03

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Solution

The fourth proportional to 11,463.93, 15,820.55 and 6,428.03 is: 8,870.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,463.93 : 15,820.55 = 6,428.03 : x
  2. Step 2: Convert to fraction form
    11,463.93/15,820.55 = 6,428.03/x
  3. Step 3: Cross multiply
    11,463.93x = 15,820.55 × 6,428.03
  4. Step 4: Simplify right side
    11,463.93x = 101,694,882.88
  5. Step 5: Solve for x
    x = 101,694,882.88/11,463.93
  6. Step 6: Final answer
    x = 8,870.86

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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.