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Finding the Fourth Proportional to 10,483.76, 15,721.92 and 4,644.48

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Solution

The fourth proportional to 10,483.76, 15,721.92 and 4,644.48 is: 6,965.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,483.76 : 15,721.92 = 4,644.48 : x
  2. Step 2: Convert to fraction form
    10,483.76/15,721.92 = 4,644.48/x
  3. Step 3: Cross multiply
    10,483.76x = 15,721.92 × 4,644.48
  4. Step 4: Simplify right side
    10,483.76x = 73,020,143.00
  5. Step 5: Solve for x
    x = 73,020,143.00/10,483.76
  6. Step 6: Final answer
    x = 6,965.07

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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.