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Finding the Fourth Proportional to 10,850.14, 16,264.20 and 4,280.98

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Solution

The fourth proportional to 10,850.14, 16,264.20 and 4,280.98 is: 6,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850.14 : 16,264.20 = 4,280.98 : x
  2. Step 2: Convert to fraction form
    10,850.14/16,264.20 = 4,280.98/x
  3. Step 3: Cross multiply
    10,850.14x = 16,264.20 × 4,280.98
  4. Step 4: Simplify right side
    10,850.14x = 69,626,714.92
  5. Step 5: Solve for x
    x = 69,626,714.92/10,850.14
  6. Step 6: Final answer
    x = 6,417.13

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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.