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Finding the Fourth Proportional to 10,471.28, 15,706.98 and 3,075.71

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Solution

The fourth proportional to 10,471.28, 15,706.98 and 3,075.71 is: 4,613.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.28 : 15,706.98 = 3,075.71 : x
  2. Step 2: Convert to fraction form
    10,471.28/15,706.98 = 3,075.71/x
  3. Step 3: Cross multiply
    10,471.28x = 15,706.98 × 3,075.71
  4. Step 4: Simplify right side
    10,471.28x = 48,310,036.92
  5. Step 5: Solve for x
    x = 48,310,036.92/10,471.28
  6. Step 6: Final answer
    x = 4,613.58

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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.