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Finding the Fourth Proportional to 11,365.84, 17,049.64 and 3,970.12

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Solution

The fourth proportional to 11,365.84, 17,049.64 and 3,970.12 is: 5,955.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,365.84 : 17,049.64 = 3,970.12 : x
  2. Step 2: Convert to fraction form
    11,365.84/17,049.64 = 3,970.12/x
  3. Step 3: Cross multiply
    11,365.84x = 17,049.64 × 3,970.12
  4. Step 4: Simplify right side
    11,365.84x = 67,689,116.76
  5. Step 5: Solve for x
    x = 67,689,116.76/11,365.84
  6. Step 6: Final answer
    x = 5,955.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.