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Finding the Fourth Proportional to 8,652.24, 11,940.60 and 5,114.64

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Solution

The fourth proportional to 8,652.24, 11,940.60 and 5,114.64 is: 7,058.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,652.24 : 11,940.60 = 5,114.64 : x
  2. Step 2: Convert to fraction form
    8,652.24/11,940.60 = 5,114.64/x
  3. Step 3: Cross multiply
    8,652.24x = 11,940.60 × 5,114.64
  4. Step 4: Simplify right side
    8,652.24x = 61,071,870.38
  5. Step 5: Solve for x
    x = 61,071,870.38/8,652.24
  6. Step 6: Final answer
    x = 7,058.50

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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.