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Finding the Fourth Proportional to 10,358.22, 14,294.07 and 5,642.22

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Solution

The fourth proportional to 10,358.22, 14,294.07 and 5,642.22 is: 7,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.22 : 14,294.07 = 5,642.22 : x
  2. Step 2: Convert to fraction form
    10,358.22/14,294.07 = 5,642.22/x
  3. Step 3: Cross multiply
    10,358.22x = 14,294.07 × 5,642.22
  4. Step 4: Simplify right side
    10,358.22x = 80,650,287.64
  5. Step 5: Solve for x
    x = 80,650,287.64/10,358.22
  6. Step 6: Final answer
    x = 7,786.11

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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.