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Finding the Fourth Proportional to 8,532.84, 11,774.90 and 4,756.42

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Solution

The fourth proportional to 8,532.84, 11,774.90 and 4,756.42 is: 6,563.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,532.84 : 11,774.90 = 4,756.42 : x
  2. Step 2: Convert to fraction form
    8,532.84/11,774.90 = 4,756.42/x
  3. Step 3: Cross multiply
    8,532.84x = 11,774.90 × 4,756.42
  4. Step 4: Simplify right side
    8,532.84x = 56,006,310.98
  5. Step 5: Solve for x
    x = 56,006,310.98/8,532.84
  6. Step 6: Final answer
    x = 6,563.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.