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Finding the Fourth Proportional to 10,096.80, 15,141.84 and 4,899.36

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Solution

The fourth proportional to 10,096.80, 15,141.84 and 4,899.36 is: 7,347.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,096.80 : 15,141.84 = 4,899.36 : x
  2. Step 2: Convert to fraction form
    10,096.80/15,141.84 = 4,899.36/x
  3. Step 3: Cross multiply
    10,096.80x = 15,141.84 × 4,899.36
  4. Step 4: Simplify right side
    10,096.80x = 74,185,325.22
  5. Step 5: Solve for x
    x = 74,185,325.22/10,096.80
  6. Step 6: Final answer
    x = 7,347.41

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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.