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Finding the Fourth Proportional to 8,495.67, 12,746.93 and 3,812.53

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Solution

The fourth proportional to 8,495.67, 12,746.93 and 3,812.53 is: 5,720.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,495.67 : 12,746.93 = 3,812.53 : x
  2. Step 2: Convert to fraction form
    8,495.67/12,746.93 = 3,812.53/x
  3. Step 3: Cross multiply
    8,495.67x = 12,746.93 × 3,812.53
  4. Step 4: Simplify right side
    8,495.67x = 48,598,053.03
  5. Step 5: Solve for x
    x = 48,598,053.03/8,495.67
  6. Step 6: Final answer
    x = 5,720.33

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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.