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Finding the Fourth Proportional to 7,573.74, 10,445.82 and 4,922

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Solution

The fourth proportional to 7,573.74, 10,445.82 and 4,922 is: 6,788.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,573.74 : 10,445.82 = 4,922 : x
  2. Step 2: Convert to fraction form
    7,573.74/10,445.82 = 4,922/x
  3. Step 3: Cross multiply
    7,573.74x = 10,445.82 × 4,922
  4. Step 4: Simplify right side
    7,573.74x = 51,414,326.04
  5. Step 5: Solve for x
    x = 51,414,326.04/7,573.74
  6. Step 6: Final answer
    x = 6,788.50

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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.