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Finding the Fourth Proportional to 11,407.50, 17,075.40 and 7,252.20

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Solution

The fourth proportional to 11,407.50, 17,075.40 and 7,252.20 is: 10,855.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.50 : 17,075.40 = 7,252.20 : x
  2. Step 2: Convert to fraction form
    11,407.50/17,075.40 = 7,252.20/x
  3. Step 3: Cross multiply
    11,407.50x = 17,075.40 × 7,252.20
  4. Step 4: Simplify right side
    11,407.50x = 123,834,281.89
  5. Step 5: Solve for x
    x = 123,834,281.89/11,407.50
  6. Step 6: Final answer
    x = 10,855.51

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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.