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Finding the Fourth Proportional to 10,448.91, 14,419.75 and 5,733.19

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Solution

The fourth proportional to 10,448.91, 14,419.75 and 5,733.19 is: 7,911.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,448.91 : 14,419.75 = 5,733.19 : x
  2. Step 2: Convert to fraction form
    10,448.91/14,419.75 = 5,733.19/x
  3. Step 3: Cross multiply
    10,448.91x = 14,419.75 × 5,733.19
  4. Step 4: Simplify right side
    10,448.91x = 82,671,116.12
  5. Step 5: Solve for x
    x = 82,671,116.12/10,448.91
  6. Step 6: Final answer
    x = 7,911.94

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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.