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Finding the Fourth Proportional to 10,655.32, 15,991.54 and 4,812.44

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Solution

The fourth proportional to 10,655.32, 15,991.54 and 4,812.44 is: 7,222.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.32 : 15,991.54 = 4,812.44 : x
  2. Step 2: Convert to fraction form
    10,655.32/15,991.54 = 4,812.44/x
  3. Step 3: Cross multiply
    10,655.32x = 15,991.54 × 4,812.44
  4. Step 4: Simplify right side
    10,655.32x = 76,958,326.76
  5. Step 5: Solve for x
    x = 76,958,326.76/10,655.32
  6. Step 6: Final answer
    x = 7,222.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.