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Finding the Fourth Proportional to 10,675.63, 16,015.49 and 4,101.30

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Solution

The fourth proportional to 10,675.63, 16,015.49 and 4,101.30 is: 6,152.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,675.63 : 16,015.49 = 4,101.30 : x
  2. Step 2: Convert to fraction form
    10,675.63/16,015.49 = 4,101.30/x
  3. Step 3: Cross multiply
    10,675.63x = 16,015.49 × 4,101.30
  4. Step 4: Simplify right side
    10,675.63x = 65,684,329.14
  5. Step 5: Solve for x
    x = 65,684,329.14/10,675.63
  6. Step 6: Final answer
    x = 6,152.74

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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.