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Finding the Fourth Proportional to 10,471.68, 15,718.91 and 4,235.99

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Solution

The fourth proportional to 10,471.68, 15,718.91 and 4,235.99 is: 6,358.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,471.68 : 15,718.91 = 4,235.99 : x
  2. Step 2: Convert to fraction form
    10,471.68/15,718.91 = 4,235.99/x
  3. Step 3: Cross multiply
    10,471.68x = 15,718.91 × 4,235.99
  4. Step 4: Simplify right side
    10,471.68x = 66,585,045.80
  5. Step 5: Solve for x
    x = 66,585,045.80/10,471.68
  6. Step 6: Final answer
    x = 6,358.58

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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.