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Finding the Fourth Proportional to 10,075.46, 15,115.92 and 3,502.01

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Solution

The fourth proportional to 10,075.46, 15,115.92 and 3,502.01 is: 5,253.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,075.46 : 15,115.92 = 3,502.01 : x
  2. Step 2: Convert to fraction form
    10,075.46/15,115.92 = 3,502.01/x
  3. Step 3: Cross multiply
    10,075.46x = 15,115.92 × 3,502.01
  4. Step 4: Simplify right side
    10,075.46x = 52,936,103.00
  5. Step 5: Solve for x
    x = 52,936,103.00/10,075.46
  6. Step 6: Final answer
    x = 5,253.96

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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.