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Finding the Fourth Proportional to 10,465.43, 14,442.63 and 5,749.81

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Solution

The fourth proportional to 10,465.43, 14,442.63 and 5,749.81 is: 7,934.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,465.43 : 14,442.63 = 5,749.81 : x
  2. Step 2: Convert to fraction form
    10,465.43/14,442.63 = 5,749.81/x
  3. Step 3: Cross multiply
    10,465.43x = 14,442.63 × 5,749.81
  4. Step 4: Simplify right side
    10,465.43x = 83,042,349.65
  5. Step 5: Solve for x
    x = 83,042,349.65/10,465.43
  6. Step 6: Final answer
    x = 7,934.92

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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.