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Finding the Fourth Proportional to 11,302.40, 17,018.24 and 10,611.20

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Solution

The fourth proportional to 11,302.40, 17,018.24 and 10,611.20 is: 15,977.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,302.40 : 17,018.24 = 10,611.20 : x
  2. Step 2: Convert to fraction form
    11,302.40/17,018.24 = 10,611.20/x
  3. Step 3: Cross multiply
    11,302.40x = 17,018.24 × 10,611.20
  4. Step 4: Simplify right side
    11,302.40x = 180,583,948.29
  5. Step 5: Solve for x
    x = 180,583,948.29/11,302.40
  6. Step 6: Final answer
    x = 15,977.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.