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Finding the Fourth Proportional to 8,160.42, 12,235.70 and 4,457.50

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Solution

The fourth proportional to 8,160.42, 12,235.70 and 4,457.50 is: 6,683.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,160.42 : 12,235.70 = 4,457.50 : x
  2. Step 2: Convert to fraction form
    8,160.42/12,235.70 = 4,457.50/x
  3. Step 3: Cross multiply
    8,160.42x = 12,235.70 × 4,457.50
  4. Step 4: Simplify right side
    8,160.42x = 54,540,632.75
  5. Step 5: Solve for x
    x = 54,540,632.75/8,160.42
  6. Step 6: Final answer
    x = 6,683.56

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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.