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Finding the Fourth Proportional to 7,854.72, 10,842.56 and 5,335.52

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Solution

The fourth proportional to 7,854.72, 10,842.56 and 5,335.52 is: 7,365.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,854.72 : 10,842.56 = 5,335.52 : x
  2. Step 2: Convert to fraction form
    7,854.72/10,842.56 = 5,335.52/x
  3. Step 3: Cross multiply
    7,854.72x = 10,842.56 × 5,335.52
  4. Step 4: Simplify right side
    7,854.72x = 57,850,695.73
  5. Step 5: Solve for x
    x = 57,850,695.73/7,854.72
  6. Step 6: Final answer
    x = 7,365.09

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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.