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Finding the Fourth Proportional to 7,607.10, 11,405.76 and 3,223.38

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Solution

The fourth proportional to 7,607.10, 11,405.76 and 3,223.38 is: 4,833.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,607.10 : 11,405.76 = 3,223.38 : x
  2. Step 2: Convert to fraction form
    7,607.10/11,405.76 = 3,223.38/x
  3. Step 3: Cross multiply
    7,607.10x = 11,405.76 × 3,223.38
  4. Step 4: Simplify right side
    7,607.10x = 36,765,098.67
  5. Step 5: Solve for x
    x = 36,765,098.67/7,607.10
  6. Step 6: Final answer
    x = 4,833.00

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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.