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Finding the Fourth Proportional to 8,343.98, 12,515.96 and 6,782.10

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Solution

The fourth proportional to 8,343.98, 12,515.96 and 6,782.10 is: 10,173.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,343.98 : 12,515.96 = 6,782.10 : x
  2. Step 2: Convert to fraction form
    8,343.98/12,515.96 = 6,782.10/x
  3. Step 3: Cross multiply
    8,343.98x = 12,515.96 × 6,782.10
  4. Step 4: Simplify right side
    8,343.98x = 84,884,492.32
  5. Step 5: Solve for x
    x = 84,884,492.32/8,343.98
  6. Step 6: Final answer
    x = 10,173.14

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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.