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Finding the Fourth Proportional to 7,817.06, 10,786.98 and 4,459.10

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Solution

The fourth proportional to 7,817.06, 10,786.98 and 4,459.10 is: 6,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,817.06 : 10,786.98 = 4,459.10 : x
  2. Step 2: Convert to fraction form
    7,817.06/10,786.98 = 4,459.10/x
  3. Step 3: Cross multiply
    7,817.06x = 10,786.98 × 4,459.10
  4. Step 4: Simplify right side
    7,817.06x = 48,100,222.52
  5. Step 5: Solve for x
    x = 48,100,222.52/7,817.06
  6. Step 6: Final answer
    x = 6,153.24

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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.