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Finding the Fourth Proportional to 10,536.68, 15,807.36 and 3,611

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Solution

The fourth proportional to 10,536.68, 15,807.36 and 3,611 is: 5,417.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,536.68 : 15,807.36 = 3,611 : x
  2. Step 2: Convert to fraction form
    10,536.68/15,807.36 = 3,611/x
  3. Step 3: Cross multiply
    10,536.68x = 15,807.36 × 3,611
  4. Step 4: Simplify right side
    10,536.68x = 57,080,376.96
  5. Step 5: Solve for x
    x = 57,080,376.96/10,536.68
  6. Step 6: Final answer
    x = 5,417.30

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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.