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Finding the Fourth Proportional to 10,652.63, 15,969.83 and 4,074.21

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Solution

The fourth proportional to 10,652.63, 15,969.83 and 4,074.21 is: 6,107.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,652.63 : 15,969.83 = 4,074.21 : x
  2. Step 2: Convert to fraction form
    10,652.63/15,969.83 = 4,074.21/x
  3. Step 3: Cross multiply
    10,652.63x = 15,969.83 × 4,074.21
  4. Step 4: Simplify right side
    10,652.63x = 65,064,420.71
  5. Step 5: Solve for x
    x = 65,064,420.71/10,652.63
  6. Step 6: Final answer
    x = 6,107.83

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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.