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Finding the Fourth Proportional to 7,131.48, 10,697.18 and 3,970.86

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Solution

The fourth proportional to 7,131.48, 10,697.18 and 3,970.86 is: 5,956.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.48 : 10,697.18 = 3,970.86 : x
  2. Step 2: Convert to fraction form
    7,131.48/10,697.18 = 3,970.86/x
  3. Step 3: Cross multiply
    7,131.48x = 10,697.18 × 3,970.86
  4. Step 4: Simplify right side
    7,131.48x = 42,476,966.54
  5. Step 5: Solve for x
    x = 42,476,966.54/7,131.48
  6. Step 6: Final answer
    x = 5,956.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.