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Finding the Fourth Proportional to 11,051.37, 16,578 and 3,655.62

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Solution

The fourth proportional to 11,051.37, 16,578 and 3,655.62 is: 5,483.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,051.37 : 16,578 = 3,655.62 : x
  2. Step 2: Convert to fraction form
    11,051.37/16,578 = 3,655.62/x
  3. Step 3: Cross multiply
    11,051.37x = 16,578 × 3,655.62
  4. Step 4: Simplify right side
    11,051.37x = 60,602,868.36
  5. Step 5: Solve for x
    x = 60,602,868.36/11,051.37
  6. Step 6: Final answer
    x = 5,483.74

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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.