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Finding the Fourth Proportional to 8,896.50, 13,345.54 and 2,322.76

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Solution

The fourth proportional to 8,896.50, 13,345.54 and 2,322.76 is: 3,484.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,896.50 : 13,345.54 = 2,322.76 : x
  2. Step 2: Convert to fraction form
    8,896.50/13,345.54 = 2,322.76/x
  3. Step 3: Cross multiply
    8,896.50x = 13,345.54 × 2,322.76
  4. Step 4: Simplify right side
    8,896.50x = 30,998,486.49
  5. Step 5: Solve for x
    x = 30,998,486.49/8,896.50
  6. Step 6: Final answer
    x = 3,484.35

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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.