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Finding the Fourth Proportional to 11,355.64, 17,012.03 and 5,812.50

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Solution

The fourth proportional to 11,355.64, 17,012.03 and 5,812.50 is: 8,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,355.64 : 17,012.03 = 5,812.50 : x
  2. Step 2: Convert to fraction form
    11,355.64/17,012.03 = 5,812.50/x
  3. Step 3: Cross multiply
    11,355.64x = 17,012.03 × 5,812.50
  4. Step 4: Simplify right side
    11,355.64x = 98,882,424.38
  5. Step 5: Solve for x
    x = 98,882,424.38/11,355.64
  6. Step 6: Final answer
    x = 8,707.78

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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.