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Finding the Fourth Proportional to 8,535.30, 11,779.80 and 4,997.82

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Solution

The fourth proportional to 8,535.30, 11,779.80 and 4,997.82 is: 6,897.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.30 : 11,779.80 = 4,997.82 : x
  2. Step 2: Convert to fraction form
    8,535.30/11,779.80 = 4,997.82/x
  3. Step 3: Cross multiply
    8,535.30x = 11,779.80 × 4,997.82
  4. Step 4: Simplify right side
    8,535.30x = 58,873,320.04
  5. Step 5: Solve for x
    x = 58,873,320.04/8,535.30
  6. Step 6: Final answer
    x = 6,897.63

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