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Finding the Fourth Proportional to 11,550.70, 15,941.76 and 7,583.32

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Solution

The fourth proportional to 11,550.70, 15,941.76 and 7,583.32 is: 10,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,550.70 : 15,941.76 = 7,583.32 : x
  2. Step 2: Convert to fraction form
    11,550.70/15,941.76 = 7,583.32/x
  3. Step 3: Cross multiply
    11,550.70x = 15,941.76 × 7,583.32
  4. Step 4: Simplify right side
    11,550.70x = 120,891,467.44
  5. Step 5: Solve for x
    x = 120,891,467.44/11,550.70
  6. Step 6: Final answer
    x = 10,466.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.