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Finding the Fourth Proportional to 11,137.64, 15,369.75 and 6,101.64

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Solution

The fourth proportional to 11,137.64, 15,369.75 and 6,101.64 is: 8,420.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,137.64 : 15,369.75 = 6,101.64 : x
  2. Step 2: Convert to fraction form
    11,137.64/15,369.75 = 6,101.64/x
  3. Step 3: Cross multiply
    11,137.64x = 15,369.75 × 6,101.64
  4. Step 4: Simplify right side
    11,137.64x = 93,780,681.39
  5. Step 5: Solve for x
    x = 93,780,681.39/11,137.64
  6. Step 6: Final answer
    x = 8,420.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.