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Finding the Fourth Proportional to 10,681.55, 16,024.14 and 3,285.84

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Solution

The fourth proportional to 10,681.55, 16,024.14 and 3,285.84 is: 4,929.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,681.55 : 16,024.14 = 3,285.84 : x
  2. Step 2: Convert to fraction form
    10,681.55/16,024.14 = 3,285.84/x
  3. Step 3: Cross multiply
    10,681.55x = 16,024.14 × 3,285.84
  4. Step 4: Simplify right side
    10,681.55x = 52,652,760.18
  5. Step 5: Solve for x
    x = 52,652,760.18/10,681.55
  6. Step 6: Final answer
    x = 4,929.32

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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.