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Finding the Fourth Proportional to 11,442.94, 15,791.55 and 6,407.14

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Solution

The fourth proportional to 11,442.94, 15,791.55 and 6,407.14 is: 8,842.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.94 : 15,791.55 = 6,407.14 : x
  2. Step 2: Convert to fraction form
    11,442.94/15,791.55 = 6,407.14/x
  3. Step 3: Cross multiply
    11,442.94x = 15,791.55 × 6,407.14
  4. Step 4: Simplify right side
    11,442.94x = 101,178,671.67
  5. Step 5: Solve for x
    x = 101,178,671.67/11,442.94
  6. Step 6: Final answer
    x = 8,842.02

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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.