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Finding the Fourth Proportional to 7,751.98, 10,697.74 and 4,215.16

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Solution

The fourth proportional to 7,751.98, 10,697.74 and 4,215.16 is: 5,816.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,751.98 : 10,697.74 = 4,215.16 : x
  2. Step 2: Convert to fraction form
    7,751.98/10,697.74 = 4,215.16/x
  3. Step 3: Cross multiply
    7,751.98x = 10,697.74 × 4,215.16
  4. Step 4: Simplify right side
    7,751.98x = 45,092,685.74
  5. Step 5: Solve for x
    x = 45,092,685.74/7,751.98
  6. Step 6: Final answer
    x = 5,816.92

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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.