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Finding the Fourth Proportional to 10,698.96, 14,765.04 and 5,983.25

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Solution

The fourth proportional to 10,698.96, 14,765.04 and 5,983.25 is: 8,257.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.96 : 14,765.04 = 5,983.25 : x
  2. Step 2: Convert to fraction form
    10,698.96/14,765.04 = 5,983.25/x
  3. Step 3: Cross multiply
    10,698.96x = 14,765.04 × 5,983.25
  4. Step 4: Simplify right side
    10,698.96x = 88,342,851.75
  5. Step 5: Solve for x
    x = 88,342,851.75/10,698.96
  6. Step 6: Final answer
    x = 8,257.14

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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.