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Finding the Fourth Proportional to 11,145.84, 15,381.45 and 6,109.98

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Solution

The fourth proportional to 11,145.84, 15,381.45 and 6,109.98 is: 8,431.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,145.84 : 15,381.45 = 6,109.98 : x
  2. Step 2: Convert to fraction form
    11,145.84/15,381.45 = 6,109.98/x
  3. Step 3: Cross multiply
    11,145.84x = 15,381.45 × 6,109.98
  4. Step 4: Simplify right side
    11,145.84x = 93,980,351.87
  5. Step 5: Solve for x
    x = 93,980,351.87/11,145.84
  6. Step 6: Final answer
    x = 8,431.88

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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.