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Finding the Fourth Proportional to 10,374.44, 14,312.16 and 7,016.01

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Solution

The fourth proportional to 10,374.44, 14,312.16 and 7,016.01 is: 9,679.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,374.44 : 14,312.16 = 7,016.01 : x
  2. Step 2: Convert to fraction form
    10,374.44/14,312.16 = 7,016.01/x
  3. Step 3: Cross multiply
    10,374.44x = 14,312.16 × 7,016.01
  4. Step 4: Simplify right side
    10,374.44x = 100,414,257.68
  5. Step 5: Solve for x
    x = 100,414,257.68/10,374.44
  6. Step 6: Final answer
    x = 9,679.01

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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.