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Finding the Fourth Proportional to 7,411.50, 10,227.87 and 4,617

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Solution

The fourth proportional to 7,411.50, 10,227.87 and 4,617 is: 6,371.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,411.50 : 10,227.87 = 4,617 : x
  2. Step 2: Convert to fraction form
    7,411.50/10,227.87 = 4,617/x
  3. Step 3: Cross multiply
    7,411.50x = 10,227.87 × 4,617
  4. Step 4: Simplify right side
    7,411.50x = 47,222,075.79
  5. Step 5: Solve for x
    x = 47,222,075.79/7,411.50
  6. Step 6: Final answer
    x = 6,371.46

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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.