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Finding the Fourth Proportional to 28,005.83, 42,008.79 and 8,285.87

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Solution

The fourth proportional to 28,005.83, 42,008.79 and 8,285.87 is: 12,428.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,005.83 : 42,008.79 = 8,285.87 : x
  2. Step 2: Convert to fraction form
    28,005.83/42,008.79 = 8,285.87/x
  3. Step 3: Cross multiply
    28,005.83x = 42,008.79 × 8,285.87
  4. Step 4: Simplify right side
    28,005.83x = 348,079,372.80
  5. Step 5: Solve for x
    x = 348,079,372.80/28,005.83
  6. Step 6: Final answer
    x = 12,428.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.