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Finding the Fourth Proportional to 8,535.50, 11,782.23 and 5,742.62

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Solution

The fourth proportional to 8,535.50, 11,782.23 and 5,742.62 is: 7,927.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,535.50 : 11,782.23 = 5,742.62 : x
  2. Step 2: Convert to fraction form
    8,535.50/11,782.23 = 5,742.62/x
  3. Step 3: Cross multiply
    8,535.50x = 11,782.23 × 5,742.62
  4. Step 4: Simplify right side
    8,535.50x = 67,660,869.64
  5. Step 5: Solve for x
    x = 67,660,869.64/8,535.50
  6. Step 6: Final answer
    x = 7,927.00

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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.