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Finding the Fourth Proportional to 8,354.86, 11,526.86 and 4,767.24

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Solution

The fourth proportional to 8,354.86, 11,526.86 and 4,767.24 is: 6,577.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.86 : 11,526.86 = 4,767.24 : x
  2. Step 2: Convert to fraction form
    8,354.86/11,526.86 = 4,767.24/x
  3. Step 3: Cross multiply
    8,354.86x = 11,526.86 × 4,767.24
  4. Step 4: Simplify right side
    8,354.86x = 54,951,308.07
  5. Step 5: Solve for x
    x = 54,951,308.07/8,354.86
  6. Step 6: Final answer
    x = 6,577.17

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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.