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Finding the Fourth Proportional to 10,358.47, 14,294.67 and 5,642.75

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Solution

The fourth proportional to 10,358.47, 14,294.67 and 5,642.75 is: 7,786.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,358.47 : 14,294.67 = 5,642.75 : x
  2. Step 2: Convert to fraction form
    10,358.47/14,294.67 = 5,642.75/x
  3. Step 3: Cross multiply
    10,358.47x = 14,294.67 × 5,642.75
  4. Step 4: Simplify right side
    10,358.47x = 80,661,249.14
  5. Step 5: Solve for x
    x = 80,661,249.14/10,358.47
  6. Step 6: Final answer
    x = 7,786.98

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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.