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Finding the Fourth Proportional to 10,795.66, 14,899.07 and 6,319.14

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Solution

The fourth proportional to 10,795.66, 14,899.07 and 6,319.14 is: 8,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,795.66 : 14,899.07 = 6,319.14 : x
  2. Step 2: Convert to fraction form
    10,795.66/14,899.07 = 6,319.14/x
  3. Step 3: Cross multiply
    10,795.66x = 14,899.07 × 6,319.14
  4. Step 4: Simplify right side
    10,795.66x = 94,149,309.20
  5. Step 5: Solve for x
    x = 94,149,309.20/10,795.66
  6. Step 6: Final answer
    x = 8,721.03

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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.