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Finding the Fourth Proportional to 10,523.24, 14,522.00 and 5,807.52

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Solution

The fourth proportional to 10,523.24, 14,522.00 and 5,807.52 is: 8,014.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,523.24 : 14,522.00 = 5,807.52 : x
  2. Step 2: Convert to fraction form
    10,523.24/14,522.00 = 5,807.52/x
  3. Step 3: Cross multiply
    10,523.24x = 14,522.00 × 5,807.52
  4. Step 4: Simplify right side
    10,523.24x = 84,336,845.37
  5. Step 5: Solve for x
    x = 84,336,845.37/10,523.24
  6. Step 6: Final answer
    x = 8,014.34

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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.