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Finding the Fourth Proportional to 8,497.90, 12,748.67 and 3,564.69

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Solution

The fourth proportional to 8,497.90, 12,748.67 and 3,564.69 is: 5,347.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.90 : 12,748.67 = 3,564.69 : x
  2. Step 2: Convert to fraction form
    8,497.90/12,748.67 = 3,564.69/x
  3. Step 3: Cross multiply
    8,497.90x = 12,748.67 × 3,564.69
  4. Step 4: Simplify right side
    8,497.90x = 45,445,099.81
  5. Step 5: Solve for x
    x = 45,445,099.81/8,497.90
  6. Step 6: Final answer
    x = 5,347.81

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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.