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Finding the Fourth Proportional to 7,953.35, 10,971.86 and 5,438.97

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Solution

The fourth proportional to 7,953.35, 10,971.86 and 5,438.97 is: 7,503.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.35 : 10,971.86 = 5,438.97 : x
  2. Step 2: Convert to fraction form
    7,953.35/10,971.86 = 5,438.97/x
  3. Step 3: Cross multiply
    7,953.35x = 10,971.86 × 5,438.97
  4. Step 4: Simplify right side
    7,953.35x = 59,675,590.19
  5. Step 5: Solve for x
    x = 59,675,590.19/7,953.35
  6. Step 6: Final answer
    x = 7,503.21

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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.