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Finding the Fourth Proportional to 7,817.58, 10,786.57 and 4,459.12

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Solution

The fourth proportional to 7,817.58, 10,786.57 and 4,459.12 is: 6,152.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.58 : 10,786.57 = 4,459.12 : x
  2. Step 2: Convert to fraction form
    7,817.58/10,786.57 = 4,459.12/x
  3. Step 3: Cross multiply
    7,817.58x = 10,786.57 × 4,459.12
  4. Step 4: Simplify right side
    7,817.58x = 48,098,571.90
  5. Step 5: Solve for x
    x = 48,098,571.90/7,817.58
  6. Step 6: Final answer
    x = 6,152.62

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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.