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Finding the Fourth Proportional to 10,016.40, 13,817.34 and 8,130.06

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Solution

The fourth proportional to 10,016.40, 13,817.34 and 8,130.06 is: 11,215.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,016.40 : 13,817.34 = 8,130.06 : x
  2. Step 2: Convert to fraction form
    10,016.40/13,817.34 = 8,130.06/x
  3. Step 3: Cross multiply
    10,016.40x = 13,817.34 × 8,130.06
  4. Step 4: Simplify right side
    10,016.40x = 112,335,803.24
  5. Step 5: Solve for x
    x = 112,335,803.24/10,016.40
  6. Step 6: Final answer
    x = 11,215.19

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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.