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Finding the Fourth Proportional to 28,285.58, 42,428.37 and 8,564.11

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Solution

The fourth proportional to 28,285.58, 42,428.37 and 8,564.11 is: 12,846.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,285.58 : 42,428.37 = 8,564.11 : x
  2. Step 2: Convert to fraction form
    28,285.58/42,428.37 = 8,564.11/x
  3. Step 3: Cross multiply
    28,285.58x = 42,428.37 × 8,564.11
  4. Step 4: Simplify right side
    28,285.58x = 363,361,227.80
  5. Step 5: Solve for x
    x = 363,361,227.80/28,285.58
  6. Step 6: Final answer
    x = 12,846.17

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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.