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Finding the Fourth Proportional to 11,356.92, 15,674.88 and 6,642.36

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Solution

The fourth proportional to 11,356.92, 15,674.88 and 6,642.36 is: 9,167.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,356.92 : 15,674.88 = 6,642.36 : x
  2. Step 2: Convert to fraction form
    11,356.92/15,674.88 = 6,642.36/x
  3. Step 3: Cross multiply
    11,356.92x = 15,674.88 × 6,642.36
  4. Step 4: Simplify right side
    11,356.92x = 104,118,195.92
  5. Step 5: Solve for x
    x = 104,118,195.92/11,356.92
  6. Step 6: Final answer
    x = 9,167.82

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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.