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Finding the Fourth Proportional to 7,129.40, 10,693.74 and 2,449.84

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Solution

The fourth proportional to 7,129.40, 10,693.74 and 2,449.84 is: 3,674.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.40 : 10,693.74 = 2,449.84 : x
  2. Step 2: Convert to fraction form
    7,129.40/10,693.74 = 2,449.84/x
  3. Step 3: Cross multiply
    7,129.40x = 10,693.74 × 2,449.84
  4. Step 4: Simplify right side
    7,129.40x = 26,197,952.00
  5. Step 5: Solve for x
    x = 26,197,952.00/7,129.40
  6. Step 6: Final answer
    x = 3,674.64

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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.