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Finding the Fourth Proportional to 7,838.56, 11,740.56 and 4,754.08

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Solution

The fourth proportional to 7,838.56, 11,740.56 and 4,754.08 is: 7,120.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,838.56 : 11,740.56 = 4,754.08 : x
  2. Step 2: Convert to fraction form
    7,838.56/11,740.56 = 4,754.08/x
  3. Step 3: Cross multiply
    7,838.56x = 11,740.56 × 4,754.08
  4. Step 4: Simplify right side
    7,838.56x = 55,815,561.48
  5. Step 5: Solve for x
    x = 55,815,561.48/7,838.56
  6. Step 6: Final answer
    x = 7,120.64

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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.