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Finding the Fourth Proportional to 11,600.57, 17,386.58 and 5,351.90

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Solution

The fourth proportional to 11,600.57, 17,386.58 and 5,351.90 is: 8,021.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,600.57 : 17,386.58 = 5,351.90 : x
  2. Step 2: Convert to fraction form
    11,600.57/17,386.58 = 5,351.90/x
  3. Step 3: Cross multiply
    11,600.57x = 17,386.58 × 5,351.90
  4. Step 4: Simplify right side
    11,600.57x = 93,051,210.74
  5. Step 5: Solve for x
    x = 93,051,210.74/11,600.57
  6. Step 6: Final answer
    x = 8,021.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.