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Finding the Fourth Proportional to 8,528.24, 12,783.72 and 4,142

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Solution

The fourth proportional to 8,528.24, 12,783.72 and 4,142 is: 6,208.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,528.24 : 12,783.72 = 4,142 : x
  2. Step 2: Convert to fraction form
    8,528.24/12,783.72 = 4,142/x
  3. Step 3: Cross multiply
    8,528.24x = 12,783.72 × 4,142
  4. Step 4: Simplify right side
    8,528.24x = 52,950,168.24
  5. Step 5: Solve for x
    x = 52,950,168.24/8,528.24
  6. Step 6: Final answer
    x = 6,208.80

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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.