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Finding the Fourth Proportional to 13,071.92, 19,616.45 and 7,803

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Solution

The fourth proportional to 13,071.92, 19,616.45 and 7,803 is: 11,709.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,071.92 : 19,616.45 = 7,803 : x
  2. Step 2: Convert to fraction form
    13,071.92/19,616.45 = 7,803/x
  3. Step 3: Cross multiply
    13,071.92x = 19,616.45 × 7,803
  4. Step 4: Simplify right side
    13,071.92x = 153,067,120.34
  5. Step 5: Solve for x
    x = 153,067,120.34/13,071.92
  6. Step 6: Final answer
    x = 11,709.62

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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.