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Finding the Fourth Proportional to 10,422.84, 14,383.86 and 5,707.22

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Solution

The fourth proportional to 10,422.84, 14,383.86 and 5,707.22 is: 7,876.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,422.84 : 14,383.86 = 5,707.22 : x
  2. Step 2: Convert to fraction form
    10,422.84/14,383.86 = 5,707.22/x
  3. Step 3: Cross multiply
    10,422.84x = 14,383.86 × 5,707.22
  4. Step 4: Simplify right side
    10,422.84x = 82,091,853.47
  5. Step 5: Solve for x
    x = 82,091,853.47/10,422.84
  6. Step 6: Final answer
    x = 7,876.15

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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.