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Finding the Fourth Proportional to 7,610.36, 11,417.08 and 2,683.50

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Solution

The fourth proportional to 7,610.36, 11,417.08 and 2,683.50 is: 4,025.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.36 : 11,417.08 = 2,683.50 : x
  2. Step 2: Convert to fraction form
    7,610.36/11,417.08 = 2,683.50/x
  3. Step 3: Cross multiply
    7,610.36x = 11,417.08 × 2,683.50
  4. Step 4: Simplify right side
    7,610.36x = 30,637,734.18
  5. Step 5: Solve for x
    x = 30,637,734.18/7,610.36
  6. Step 6: Final answer
    x = 4,025.79

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.