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Finding the Fourth Proportional to 11,013.84, 15,199.20 and 6,045.84

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Solution

The fourth proportional to 11,013.84, 15,199.20 and 6,045.84 is: 8,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,013.84 : 15,199.20 = 6,045.84 : x
  2. Step 2: Convert to fraction form
    11,013.84/15,199.20 = 6,045.84/x
  3. Step 3: Cross multiply
    11,013.84x = 15,199.20 × 6,045.84
  4. Step 4: Simplify right side
    11,013.84x = 91,891,931.33
  5. Step 5: Solve for x
    x = 91,891,931.33/11,013.84
  6. Step 6: Final answer
    x = 8,343.31

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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.