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Finding the Fourth Proportional to 11,442.93, 15,791.51 and 6,407.01

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Solution

The fourth proportional to 11,442.93, 15,791.51 and 6,407.01 is: 8,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.93 : 15,791.51 = 6,407.01 : x
  2. Step 2: Convert to fraction form
    11,442.93/15,791.51 = 6,407.01/x
  3. Step 3: Cross multiply
    11,442.93x = 15,791.51 × 6,407.01
  4. Step 4: Simplify right side
    11,442.93x = 101,176,330.45
  5. Step 5: Solve for x
    x = 101,176,330.45/11,442.93
  6. Step 6: Final answer
    x = 8,841.82

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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.