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Finding the Fourth Proportional to 8,497.77, 12,748.48 and 3,564.57

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Solution

The fourth proportional to 8,497.77, 12,748.48 and 3,564.57 is: 5,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,497.77 : 12,748.48 = 3,564.57 : x
  2. Step 2: Convert to fraction form
    8,497.77/12,748.48 = 3,564.57/x
  3. Step 3: Cross multiply
    8,497.77x = 12,748.48 × 3,564.57
  4. Step 4: Simplify right side
    8,497.77x = 45,442,826.39
  5. Step 5: Solve for x
    x = 45,442,826.39/8,497.77
  6. Step 6: Final answer
    x = 5,347.62

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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.