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Finding the Fourth Proportional to 11,382.24, 15,710.64 and 6,668.64

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Solution

The fourth proportional to 11,382.24, 15,710.64 and 6,668.64 is: 9,204.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,382.24 : 15,710.64 = 6,668.64 : x
  2. Step 2: Convert to fraction form
    11,382.24/15,710.64 = 6,668.64/x
  3. Step 3: Cross multiply
    11,382.24x = 15,710.64 × 6,668.64
  4. Step 4: Simplify right side
    11,382.24x = 104,768,602.33
  5. Step 5: Solve for x
    x = 104,768,602.33/11,382.24
  6. Step 6: Final answer
    x = 9,204.57

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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.