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Finding the Fourth Proportional to 11,075.80, 15,545 and 11,075.80

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Solution

The fourth proportional to 11,075.80, 15,545 and 11,075.80 is: 15,545.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,075.80 : 15,545 = 11,075.80 : x
  2. Step 2: Convert to fraction form
    11,075.80/15,545 = 11,075.80/x
  3. Step 3: Cross multiply
    11,075.80x = 15,545 × 11,075.80
  4. Step 4: Simplify right side
    11,075.80x = 172,173,311
  5. Step 5: Solve for x
    x = 172,173,311/11,075.80
  6. Step 6: Final answer
    x = 15,545.00

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.