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Finding the Fourth Proportional to 10,492.83, 14,480.43 and 5,713.09

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Solution

The fourth proportional to 10,492.83, 14,480.43 and 5,713.09 is: 7,884.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,492.83 : 14,480.43 = 5,713.09 : x
  2. Step 2: Convert to fraction form
    10,492.83/14,480.43 = 5,713.09/x
  3. Step 3: Cross multiply
    10,492.83x = 14,480.43 × 5,713.09
  4. Step 4: Simplify right side
    10,492.83x = 82,727,999.83
  5. Step 5: Solve for x
    x = 82,727,999.83/10,492.83
  6. Step 6: Final answer
    x = 7,884.24

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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.