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Finding the Fourth Proportional to 11,496.50, 17,277.55 and 5,657.21

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Solution

The fourth proportional to 11,496.50, 17,277.55 and 5,657.21 is: 8,501.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,496.50 : 17,277.55 = 5,657.21 : x
  2. Step 2: Convert to fraction form
    11,496.50/17,277.55 = 5,657.21/x
  3. Step 3: Cross multiply
    11,496.50x = 17,277.55 × 5,657.21
  4. Step 4: Simplify right side
    11,496.50x = 97,742,628.10
  5. Step 5: Solve for x
    x = 97,742,628.10/11,496.50
  6. Step 6: Final answer
    x = 8,501.95

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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.