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Finding the Fourth Proportional to 8,360.30, 11,537.16 and 4,583.63

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Solution

The fourth proportional to 8,360.30, 11,537.16 and 4,583.63 is: 6,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,360.30 : 11,537.16 = 4,583.63 : x
  2. Step 2: Convert to fraction form
    8,360.30/11,537.16 = 4,583.63/x
  3. Step 3: Cross multiply
    8,360.30x = 11,537.16 × 4,583.63
  4. Step 4: Simplify right side
    8,360.30x = 52,882,015.01
  5. Step 5: Solve for x
    x = 52,882,015.01/8,360.30
  6. Step 6: Final answer
    x = 6,325.38

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Why These Related Problems?

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