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Finding the Fourth Proportional to 7,417.50, 10,236.15 and 4,105.50

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Solution

The fourth proportional to 7,417.50, 10,236.15 and 4,105.50 is: 5,665.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,417.50 : 10,236.15 = 4,105.50 : x
  2. Step 2: Convert to fraction form
    7,417.50/10,236.15 = 4,105.50/x
  3. Step 3: Cross multiply
    7,417.50x = 10,236.15 × 4,105.50
  4. Step 4: Simplify right side
    7,417.50x = 42,024,513.83
  5. Step 5: Solve for x
    x = 42,024,513.83/7,417.50
  6. Step 6: Final answer
    x = 5,665.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.