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Finding the Fourth Proportional to 10,650.16, 15,969.52 and 4,074.96

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Solution

The fourth proportional to 10,650.16, 15,969.52 and 4,074.96 is: 6,110.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,650.16 : 15,969.52 = 4,074.96 : x
  2. Step 2: Convert to fraction form
    10,650.16/15,969.52 = 4,074.96/x
  3. Step 3: Cross multiply
    10,650.16x = 15,969.52 × 4,074.96
  4. Step 4: Simplify right side
    10,650.16x = 65,075,155.22
  5. Step 5: Solve for x
    x = 65,075,155.22/10,650.16
  6. Step 6: Final answer
    x = 6,110.25

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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.