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Finding the Fourth Proportional to 10,422.36, 14,382.92 and 5,707.08

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Solution

The fourth proportional to 10,422.36, 14,382.92 and 5,707.08 is: 7,875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.36 : 14,382.92 = 5,707.08 : x
  2. Step 2: Convert to fraction form
    10,422.36/14,382.92 = 5,707.08/x
  3. Step 3: Cross multiply
    10,422.36x = 14,382.92 × 5,707.08
  4. Step 4: Simplify right side
    10,422.36x = 82,084,489.34
  5. Step 5: Solve for x
    x = 82,084,489.34/10,422.36
  6. Step 6: Final answer
    x = 7,875.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.