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Finding the Fourth Proportional to 7,744.16, 10,687.80 and 4,912.40

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Solution

The fourth proportional to 7,744.16, 10,687.80 and 4,912.40 is: 6,779.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,744.16 : 10,687.80 = 4,912.40 : x
  2. Step 2: Convert to fraction form
    7,744.16/10,687.80 = 4,912.40/x
  3. Step 3: Cross multiply
    7,744.16x = 10,687.80 × 4,912.40
  4. Step 4: Simplify right side
    7,744.16x = 52,502,748.72
  5. Step 5: Solve for x
    x = 52,502,748.72/7,744.16
  6. Step 6: Final answer
    x = 6,779.66

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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.