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Finding the Fourth Proportional to 10,395.12, 14,344.86 and 5,679.45

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Solution

The fourth proportional to 10,395.12, 14,344.86 and 5,679.45 is: 7,837.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,395.12 : 14,344.86 = 5,679.45 : x
  2. Step 2: Convert to fraction form
    10,395.12/14,344.86 = 5,679.45/x
  3. Step 3: Cross multiply
    10,395.12x = 14,344.86 × 5,679.45
  4. Step 4: Simplify right side
    10,395.12x = 81,470,915.13
  5. Step 5: Solve for x
    x = 81,470,915.13/10,395.12
  6. Step 6: Final answer
    x = 7,837.42

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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.