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Finding the Fourth Proportional to 10,506.77, 15,761.16 and 3,485.30

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Solution

The fourth proportional to 10,506.77, 15,761.16 and 3,485.30 is: 5,228.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,506.77 : 15,761.16 = 3,485.30 : x
  2. Step 2: Convert to fraction form
    10,506.77/15,761.16 = 3,485.30/x
  3. Step 3: Cross multiply
    10,506.77x = 15,761.16 × 3,485.30
  4. Step 4: Simplify right side
    10,506.77x = 54,932,370.95
  5. Step 5: Solve for x
    x = 54,932,370.95/10,506.77
  6. Step 6: Final answer
    x = 5,228.28

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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.