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Finding the Fourth Proportional to 28,559.94, 42,838.68 and 7,783.44

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Solution

The fourth proportional to 28,559.94, 42,838.68 and 7,783.44 is: 11,674.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,559.94 : 42,838.68 = 7,783.44 : x
  2. Step 2: Convert to fraction form
    28,559.94/42,838.68 = 7,783.44/x
  3. Step 3: Cross multiply
    28,559.94x = 42,838.68 × 7,783.44
  4. Step 4: Simplify right side
    28,559.94x = 333,432,295.46
  5. Step 5: Solve for x
    x = 333,432,295.46/28,559.94
  6. Step 6: Final answer
    x = 11,674.82

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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.