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Finding the Fourth Proportional to 11,519.64, 17,303.22 and 7,583.16

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Solution

The fourth proportional to 11,519.64, 17,303.22 and 7,583.16 is: 11,390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,519.64 : 17,303.22 = 7,583.16 : x
  2. Step 2: Convert to fraction form
    11,519.64/17,303.22 = 7,583.16/x
  3. Step 3: Cross multiply
    11,519.64x = 17,303.22 × 7,583.16
  4. Step 4: Simplify right side
    11,519.64x = 131,213,085.78
  5. Step 5: Solve for x
    x = 131,213,085.78/11,519.64
  6. Step 6: Final answer
    x = 11,390.38

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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.