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Finding the Fourth Proportional to 10,921.50, 15,071.70 and 5,953.50

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Solution

The fourth proportional to 10,921.50, 15,071.70 and 5,953.50 is: 8,215.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,921.50 : 15,071.70 = 5,953.50 : x
  2. Step 2: Convert to fraction form
    10,921.50/15,071.70 = 5,953.50/x
  3. Step 3: Cross multiply
    10,921.50x = 15,071.70 × 5,953.50
  4. Step 4: Simplify right side
    10,921.50x = 89,729,365.95
  5. Step 5: Solve for x
    x = 89,729,365.95/10,921.50
  6. Step 6: Final answer
    x = 8,215.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.