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Finding the Fourth Proportional to 8,905, 13,357.68 and 2,331.76

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Solution

The fourth proportional to 8,905, 13,357.68 and 2,331.76 is: 3,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,905 : 13,357.68 = 2,331.76 : x
  2. Step 2: Convert to fraction form
    8,905/13,357.68 = 2,331.76/x
  3. Step 3: Cross multiply
    8,905x = 13,357.68 × 2,331.76
  4. Step 4: Simplify right side
    8,905x = 31,146,903.92
  5. Step 5: Solve for x
    x = 31,146,903.92/8,905
  6. Step 6: Final answer
    x = 3,497.69

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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.