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Finding the Fourth Proportional to 10,698.48, 14,765.24 and 5,983

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Solution

The fourth proportional to 10,698.48, 14,765.24 and 5,983 is: 8,257.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,698.48 : 14,765.24 = 5,983 : x
  2. Step 2: Convert to fraction form
    10,698.48/14,765.24 = 5,983/x
  3. Step 3: Cross multiply
    10,698.48x = 14,765.24 × 5,983
  4. Step 4: Simplify right side
    10,698.48x = 88,340,430.92
  5. Step 5: Solve for x
    x = 88,340,430.92/10,698.48
  6. Step 6: Final answer
    x = 8,257.29

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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.