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Finding the Fourth Proportional to 8,903, 13,354.68 and 2,329.76

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Solution

The fourth proportional to 8,903, 13,354.68 and 2,329.76 is: 3,494.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,903 : 13,354.68 = 2,329.76 : x
  2. Step 2: Convert to fraction form
    8,903/13,354.68 = 2,329.76/x
  3. Step 3: Cross multiply
    8,903x = 13,354.68 × 2,329.76
  4. Step 4: Simplify right side
    8,903x = 31,113,199.28
  5. Step 5: Solve for x
    x = 31,113,199.28/8,903
  6. Step 6: Final answer
    x = 3,494.69

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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.