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Finding the Fourth Proportional to 10,339.61, 14,267.41 and 5,863.14

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Solution

The fourth proportional to 10,339.61, 14,267.41 and 5,863.14 is: 8,090.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,339.61 : 14,267.41 = 5,863.14 : x
  2. Step 2: Convert to fraction form
    10,339.61/14,267.41 = 5,863.14/x
  3. Step 3: Cross multiply
    10,339.61x = 14,267.41 × 5,863.14
  4. Step 4: Simplify right side
    10,339.61x = 83,651,807.61
  5. Step 5: Solve for x
    x = 83,651,807.61/10,339.61
  6. Step 6: Final answer
    x = 8,090.43

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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.