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Finding the Fourth Proportional to 10,422.52, 14,383.10 and 5,707.10

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Solution

The fourth proportional to 10,422.52, 14,383.10 and 5,707.10 is: 7,875.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.52 : 14,383.10 = 5,707.10 : x
  2. Step 2: Convert to fraction form
    10,422.52/14,383.10 = 5,707.10/x
  3. Step 3: Cross multiply
    10,422.52x = 14,383.10 × 5,707.10
  4. Step 4: Simplify right side
    10,422.52x = 82,085,790.01
  5. Step 5: Solve for x
    x = 82,085,790.01/10,422.52
  6. Step 6: Final answer
    x = 7,875.81

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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.