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Finding the Fourth Proportional to 12,075.61, 16,649.86 and 7,825.12

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Solution

The fourth proportional to 12,075.61, 16,649.86 and 7,825.12 is: 10,789.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.61 : 16,649.86 = 7,825.12 : x
  2. Step 2: Convert to fraction form
    12,075.61/16,649.86 = 7,825.12/x
  3. Step 3: Cross multiply
    12,075.61x = 16,649.86 × 7,825.12
  4. Step 4: Simplify right side
    12,075.61x = 130,287,152.48
  5. Step 5: Solve for x
    x = 130,287,152.48/12,075.61
  6. Step 6: Final answer
    x = 10,789.28

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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.