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Finding the Fourth Proportional to 10,611.66, 14,644.40 and 6,075.15

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Solution

The fourth proportional to 10,611.66, 14,644.40 and 6,075.15 is: 8,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,611.66 : 14,644.40 = 6,075.15 : x
  2. Step 2: Convert to fraction form
    10,611.66/14,644.40 = 6,075.15/x
  3. Step 3: Cross multiply
    10,611.66x = 14,644.40 × 6,075.15
  4. Step 4: Simplify right side
    10,611.66x = 88,966,923.74
  5. Step 5: Solve for x
    x = 88,966,923.74/10,611.66
  6. Step 6: Final answer
    x = 8,383.89

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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.