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Finding the Fourth Proportional to 10,846.34, 16,254.92 and 4,270.76

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Solution

The fourth proportional to 10,846.34, 16,254.92 and 4,270.76 is: 6,400.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,846.34 : 16,254.92 = 4,270.76 : x
  2. Step 2: Convert to fraction form
    10,846.34/16,254.92 = 4,270.76/x
  3. Step 3: Cross multiply
    10,846.34x = 16,254.92 × 4,270.76
  4. Step 4: Simplify right side
    10,846.34x = 69,420,862.14
  5. Step 5: Solve for x
    x = 69,420,862.14/10,846.34
  6. Step 6: Final answer
    x = 6,400.40

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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.