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Finding the Fourth Proportional to 12,888.50, 19,335.18 and 5,963

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Solution

The fourth proportional to 12,888.50, 19,335.18 and 5,963 is: 8,945.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,888.50 : 19,335.18 = 5,963 : x
  2. Step 2: Convert to fraction form
    12,888.50/19,335.18 = 5,963/x
  3. Step 3: Cross multiply
    12,888.50x = 19,335.18 × 5,963
  4. Step 4: Simplify right side
    12,888.50x = 115,295,678.34
  5. Step 5: Solve for x
    x = 115,295,678.34/12,888.50
  6. Step 6: Final answer
    x = 8,945.62

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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.