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Finding the Fourth Proportional to 10,717, 16,075.71 and 2,926.02

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Solution

The fourth proportional to 10,717, 16,075.71 and 2,926.02 is: 4,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,717 : 16,075.71 = 2,926.02 : x
  2. Step 2: Convert to fraction form
    10,717/16,075.71 = 2,926.02/x
  3. Step 3: Cross multiply
    10,717x = 16,075.71 × 2,926.02
  4. Step 4: Simplify right side
    10,717x = 47,037,848.97
  5. Step 5: Solve for x
    x = 47,037,848.97/10,717
  6. Step 6: Final answer
    x = 4,389.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.