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Finding the Fourth Proportional to 12,075.66, 16,664.10 and 6,698.07

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Solution

The fourth proportional to 12,075.66, 16,664.10 and 6,698.07 is: 9,243.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,075.66 : 16,664.10 = 6,698.07 : x
  2. Step 2: Convert to fraction form
    12,075.66/16,664.10 = 6,698.07/x
  3. Step 3: Cross multiply
    12,075.66x = 16,664.10 × 6,698.07
  4. Step 4: Simplify right side
    12,075.66x = 111,617,308.29
  5. Step 5: Solve for x
    x = 111,617,308.29/12,075.66
  6. Step 6: Final answer
    x = 9,243.16

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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.