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Finding the Fourth Proportional to 7,817.70, 10,789.46 and 4,459.75

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Solution

The fourth proportional to 7,817.70, 10,789.46 and 4,459.75 is: 6,155.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.70 : 10,789.46 = 4,459.75 : x
  2. Step 2: Convert to fraction form
    7,817.70/10,789.46 = 4,459.75/x
  3. Step 3: Cross multiply
    7,817.70x = 10,789.46 × 4,459.75
  4. Step 4: Simplify right side
    7,817.70x = 48,118,294.24
  5. Step 5: Solve for x
    x = 48,118,294.24/7,817.70
  6. Step 6: Final answer
    x = 6,155.04

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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.