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Finding the Fourth Proportional to 8,467.53, 12,699.25 and 3,534.50

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Solution

The fourth proportional to 8,467.53, 12,699.25 and 3,534.50 is: 5,300.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,467.53 : 12,699.25 = 3,534.50 : x
  2. Step 2: Convert to fraction form
    8,467.53/12,699.25 = 3,534.50/x
  3. Step 3: Cross multiply
    8,467.53x = 12,699.25 × 3,534.50
  4. Step 4: Simplify right side
    8,467.53x = 44,885,444.46
  5. Step 5: Solve for x
    x = 44,885,444.46/8,467.53
  6. Step 6: Final answer
    x = 5,300.89

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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.