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Finding the Fourth Proportional to 10,358.21, 14,294.25 and 5,642.49

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Solution

The fourth proportional to 10,358.21, 14,294.25 and 5,642.49 is: 7,786.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.21 : 14,294.25 = 5,642.49 : x
  2. Step 2: Convert to fraction form
    10,358.21/14,294.25 = 5,642.49/x
  3. Step 3: Cross multiply
    10,358.21x = 14,294.25 × 5,642.49
  4. Step 4: Simplify right side
    10,358.21x = 80,655,162.68
  5. Step 5: Solve for x
    x = 80,655,162.68/10,358.21
  6. Step 6: Final answer
    x = 7,786.60

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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.