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Finding the Fourth Proportional to 10,731.36, 14,809.90 and 6,017.16

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Solution

The fourth proportional to 10,731.36, 14,809.90 and 6,017.16 is: 8,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,731.36 : 14,809.90 = 6,017.16 : x
  2. Step 2: Convert to fraction form
    10,731.36/14,809.90 = 6,017.16/x
  3. Step 3: Cross multiply
    10,731.36x = 14,809.90 × 6,017.16
  4. Step 4: Simplify right side
    10,731.36x = 89,113,537.88
  5. Step 5: Solve for x
    x = 89,113,537.88/10,731.36
  6. Step 6: Final answer
    x = 8,304.03

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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.