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Finding the Fourth Proportional to 7,911.42, 10,917.36 and 4,374.42

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Solution

The fourth proportional to 7,911.42, 10,917.36 and 4,374.42 is: 6,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.42 : 10,917.36 = 4,374.42 : x
  2. Step 2: Convert to fraction form
    7,911.42/10,917.36 = 4,374.42/x
  3. Step 3: Cross multiply
    7,911.42x = 10,917.36 × 4,374.42
  4. Step 4: Simplify right side
    7,911.42x = 47,757,117.93
  5. Step 5: Solve for x
    x = 47,757,117.93/7,911.42
  6. Step 6: Final answer
    x = 6,036.48

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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.