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Finding the Fourth Proportional to 7,075.73, 10,611.81 and 2,916.90

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Solution

The fourth proportional to 7,075.73, 10,611.81 and 2,916.90 is: 4,374.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,075.73 : 10,611.81 = 2,916.90 : x
  2. Step 2: Convert to fraction form
    7,075.73/10,611.81 = 2,916.90/x
  3. Step 3: Cross multiply
    7,075.73x = 10,611.81 × 2,916.90
  4. Step 4: Simplify right side
    7,075.73x = 30,953,588.59
  5. Step 5: Solve for x
    x = 30,953,588.59/7,075.73
  6. Step 6: Final answer
    x = 4,374.62

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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.