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Finding the Fourth Proportional to 6,405.16, 9,610.98 and 2,511.76

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Solution

The fourth proportional to 6,405.16, 9,610.98 and 2,511.76 is: 3,768.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,405.16 : 9,610.98 = 2,511.76 : x
  2. Step 2: Convert to fraction form
    6,405.16/9,610.98 = 2,511.76/x
  3. Step 3: Cross multiply
    6,405.16x = 9,610.98 × 2,511.76
  4. Step 4: Simplify right side
    6,405.16x = 24,140,475.12
  5. Step 5: Solve for x
    x = 24,140,475.12/6,405.16
  6. Step 6: Final answer
    x = 3,768.91

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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.