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Finding the Fourth Proportional to 10,618.28, 15,927.58 and 2,828.20

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Solution

The fourth proportional to 10,618.28, 15,927.58 and 2,828.20 is: 4,242.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,618.28 : 15,927.58 = 2,828.20 : x
  2. Step 2: Convert to fraction form
    10,618.28/15,927.58 = 2,828.20/x
  3. Step 3: Cross multiply
    10,618.28x = 15,927.58 × 2,828.20
  4. Step 4: Simplify right side
    10,618.28x = 45,046,381.76
  5. Step 5: Solve for x
    x = 45,046,381.76/10,618.28
  6. Step 6: Final answer
    x = 4,242.34

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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.