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Finding the Fourth Proportional to 10,699.12, 14,764.83 and 5,983.40

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Solution

The fourth proportional to 10,699.12, 14,764.83 and 5,983.40 is: 8,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,699.12 : 14,764.83 = 5,983.40 : x
  2. Step 2: Convert to fraction form
    10,699.12/14,764.83 = 5,983.40/x
  3. Step 3: Cross multiply
    10,699.12x = 14,764.83 × 5,983.40
  4. Step 4: Simplify right side
    10,699.12x = 88,343,883.82
  5. Step 5: Solve for x
    x = 88,343,883.82/10,699.12
  6. Step 6: Final answer
    x = 8,257.12

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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.