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Finding the Fourth Proportional to 8,359.74, 11,535.99 and 4,633.50

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Solution

The fourth proportional to 8,359.74, 11,535.99 and 4,633.50 is: 6,393.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,359.74 : 11,535.99 = 4,633.50 : x
  2. Step 2: Convert to fraction form
    8,359.74/11,535.99 = 4,633.50/x
  3. Step 3: Cross multiply
    8,359.74x = 11,535.99 × 4,633.50
  4. Step 4: Simplify right side
    8,359.74x = 53,452,009.67
  5. Step 5: Solve for x
    x = 53,452,009.67/8,359.74
  6. Step 6: Final answer
    x = 6,393.98

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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.