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Finding the Fourth Proportional to 11,407.80, 17,075.85 and 7,252.50

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Solution

The fourth proportional to 11,407.80, 17,075.85 and 7,252.50 is: 10,855.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.80 : 17,075.85 = 7,252.50 : x
  2. Step 2: Convert to fraction form
    11,407.80/17,075.85 = 7,252.50/x
  3. Step 3: Cross multiply
    11,407.80x = 17,075.85 × 7,252.50
  4. Step 4: Simplify right side
    11,407.80x = 123,842,602.13
  5. Step 5: Solve for x
    x = 123,842,602.13/11,407.80
  6. Step 6: Final answer
    x = 10,855.96

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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.