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Finding the Fourth Proportional to 10,357.92, 14,293.88 and 5,642.24

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Solution

The fourth proportional to 10,357.92, 14,293.88 and 5,642.24 is: 7,786.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,357.92 : 14,293.88 = 5,642.24 : x
  2. Step 2: Convert to fraction form
    10,357.92/14,293.88 = 5,642.24/x
  3. Step 3: Cross multiply
    10,357.92x = 14,293.88 × 5,642.24
  4. Step 4: Simplify right side
    10,357.92x = 80,649,501.49
  5. Step 5: Solve for x
    x = 80,649,501.49/10,357.92
  6. Step 6: Final answer
    x = 7,786.26

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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.