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Finding the Fourth Proportional to 7,731.54, 10,668.82 and 4,374.66

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Solution

The fourth proportional to 7,731.54, 10,668.82 and 4,374.66 is: 6,036.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,731.54 : 10,668.82 = 4,374.66 : x
  2. Step 2: Convert to fraction form
    7,731.54/10,668.82 = 4,374.66/x
  3. Step 3: Cross multiply
    7,731.54x = 10,668.82 × 4,374.66
  4. Step 4: Simplify right side
    7,731.54x = 46,672,460.10
  5. Step 5: Solve for x
    x = 46,672,460.10/7,731.54
  6. Step 6: Final answer
    x = 6,036.63

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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.