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Finding the Fourth Proportional to 10,847.56, 16,280.70 and 5,305

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Solution

The fourth proportional to 10,847.56, 16,280.70 and 5,305 is: 7,962.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.56 : 16,280.70 = 5,305 : x
  2. Step 2: Convert to fraction form
    10,847.56/16,280.70 = 5,305/x
  3. Step 3: Cross multiply
    10,847.56x = 16,280.70 × 5,305
  4. Step 4: Simplify right side
    10,847.56x = 86,369,113.50
  5. Step 5: Solve for x
    x = 86,369,113.50/10,847.56
  6. Step 6: Final answer
    x = 7,962.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.