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Finding the Fourth Proportional to 10,644.76, 15,973.02 and 4,071.88

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Solution

The fourth proportional to 10,644.76, 15,973.02 and 4,071.88 is: 6,110.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,644.76 : 15,973.02 = 4,071.88 : x
  2. Step 2: Convert to fraction form
    10,644.76/15,973.02 = 4,071.88/x
  3. Step 3: Cross multiply
    10,644.76x = 15,973.02 × 4,071.88
  4. Step 4: Simplify right side
    10,644.76x = 65,040,220.68
  5. Step 5: Solve for x
    x = 65,040,220.68/10,644.76
  6. Step 6: Final answer
    x = 6,110.07

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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.