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Finding the Fourth Proportional to 8,953.10, 13,433.53 and 3,408.02

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Solution

The fourth proportional to 8,953.10, 13,433.53 and 3,408.02 is: 5,113.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,953.10 : 13,433.53 = 3,408.02 : x
  2. Step 2: Convert to fraction form
    8,953.10/13,433.53 = 3,408.02/x
  3. Step 3: Cross multiply
    8,953.10x = 13,433.53 × 3,408.02
  4. Step 4: Simplify right side
    8,953.10x = 45,781,663.22
  5. Step 5: Solve for x
    x = 45,781,663.22/8,953.10
  6. Step 6: Final answer
    x = 5,113.50

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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.