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Finding the Fourth Proportional to 28,257.40, 42,386.10 and 8,533.90

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Solution

The fourth proportional to 28,257.40, 42,386.10 and 8,533.90 is: 12,800.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,257.40 : 42,386.10 = 8,533.90 : x
  2. Step 2: Convert to fraction form
    28,257.40/42,386.10 = 8,533.90/x
  3. Step 3: Cross multiply
    28,257.40x = 42,386.10 × 8,533.90
  4. Step 4: Simplify right side
    28,257.40x = 361,718,738.79
  5. Step 5: Solve for x
    x = 361,718,738.79/28,257.40
  6. Step 6: Final answer
    x = 12,800.85

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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.