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Finding the Fourth Proportional to 11,646.80, 16,075.49 and 6,614.00

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Solution

The fourth proportional to 11,646.80, 16,075.49 and 6,614.00 is: 9,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.80 : 16,075.49 = 6,614.00 : x
  2. Step 2: Convert to fraction form
    11,646.80/16,075.49 = 6,614.00/x
  3. Step 3: Cross multiply
    11,646.80x = 16,075.49 × 6,614.00
  4. Step 4: Simplify right side
    11,646.80x = 106,323,177.41
  5. Step 5: Solve for x
    x = 106,323,177.41/11,646.80
  6. Step 6: Final answer
    x = 9,128.96

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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.