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Finding the Fourth Proportional to 8,532.24, 11,774 and 4,755.28

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Solution

The fourth proportional to 8,532.24, 11,774 and 4,755.28 is: 6,562.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.24 : 11,774 = 4,755.28 : x
  2. Step 2: Convert to fraction form
    8,532.24/11,774 = 4,755.28/x
  3. Step 3: Cross multiply
    8,532.24x = 11,774 × 4,755.28
  4. Step 4: Simplify right side
    8,532.24x = 55,988,666.72
  5. Step 5: Solve for x
    x = 55,988,666.72/8,532.24
  6. Step 6: Final answer
    x = 6,562.01

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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.