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Finding the Fourth Proportional to 8,024.71, 11,069.45 and 4,835.83

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Solution

The fourth proportional to 8,024.71, 11,069.45 and 4,835.83 is: 6,670.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,024.71 : 11,069.45 = 4,835.83 : x
  2. Step 2: Convert to fraction form
    8,024.71/11,069.45 = 4,835.83/x
  3. Step 3: Cross multiply
    8,024.71x = 11,069.45 × 4,835.83
  4. Step 4: Simplify right side
    8,024.71x = 53,529,935.14
  5. Step 5: Solve for x
    x = 53,529,935.14/8,024.71
  6. Step 6: Final answer
    x = 6,670.64

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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.