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Finding the Fourth Proportional to 12,454.10, 17,186.02 and 7,075.83

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Solution

The fourth proportional to 12,454.10, 17,186.02 and 7,075.83 is: 9,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,454.10 : 17,186.02 = 7,075.83 : x
  2. Step 2: Convert to fraction form
    12,454.10/17,186.02 = 7,075.83/x
  3. Step 3: Cross multiply
    12,454.10x = 17,186.02 × 7,075.83
  4. Step 4: Simplify right side
    12,454.10x = 121,605,345.78
  5. Step 5: Solve for x
    x = 121,605,345.78/12,454.10
  6. Step 6: Final answer
    x = 9,764.28

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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.