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Finding the Fourth Proportional to 11,484, 17,225.04 and 5,638.56

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Solution

The fourth proportional to 11,484, 17,225.04 and 5,638.56 is: 8,457.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,484 : 17,225.04 = 5,638.56 : x
  2. Step 2: Convert to fraction form
    11,484/17,225.04 = 5,638.56/x
  3. Step 3: Cross multiply
    11,484x = 17,225.04 × 5,638.56
  4. Step 4: Simplify right side
    11,484x = 97,124,421.54
  5. Step 5: Solve for x
    x = 97,124,421.54/11,484
  6. Step 6: Final answer
    x = 8,457.37

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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.