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Finding the Fourth Proportional to 10,655.28, 15,982.80 and 4,810.32

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Solution

The fourth proportional to 10,655.28, 15,982.80 and 4,810.32 is: 7,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,655.28 : 15,982.80 = 4,810.32 : x
  2. Step 2: Convert to fraction form
    10,655.28/15,982.80 = 4,810.32/x
  3. Step 3: Cross multiply
    10,655.28x = 15,982.80 × 4,810.32
  4. Step 4: Simplify right side
    10,655.28x = 76,882,382.50
  5. Step 5: Solve for x
    x = 76,882,382.50/10,655.28
  6. Step 6: Final answer
    x = 7,215.43

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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.