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Finding the Fourth Proportional to 10,846.71, 16,263.99 and 4,271.13

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Solution

The fourth proportional to 10,846.71, 16,263.99 and 4,271.13 is: 6,404.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.71 : 16,263.99 = 4,271.13 : x
  2. Step 2: Convert to fraction form
    10,846.71/16,263.99 = 4,271.13/x
  3. Step 3: Cross multiply
    10,846.71x = 16,263.99 × 4,271.13
  4. Step 4: Simplify right side
    10,846.71x = 69,465,615.61
  5. Step 5: Solve for x
    x = 69,465,615.61/10,846.71
  6. Step 6: Final answer
    x = 6,404.30

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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.