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Finding the Fourth Proportional to 11,137.84, 15,369.54 and 6,101.14

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Solution

The fourth proportional to 11,137.84, 15,369.54 and 6,101.14 is: 8,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.84 : 15,369.54 = 6,101.14 : x
  2. Step 2: Convert to fraction form
    11,137.84/15,369.54 = 6,101.14/x
  3. Step 3: Cross multiply
    11,137.84x = 15,369.54 × 6,101.14
  4. Step 4: Simplify right side
    11,137.84x = 93,771,715.28
  5. Step 5: Solve for x
    x = 93,771,715.28/11,137.84
  6. Step 6: Final answer
    x = 8,419.20

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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.