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Finding the Fourth Proportional to 10,504.14, 15,754.01 and 4,657.02

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Solution

The fourth proportional to 10,504.14, 15,754.01 and 4,657.02 is: 6,984.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,504.14 : 15,754.01 = 4,657.02 : x
  2. Step 2: Convert to fraction form
    10,504.14/15,754.01 = 4,657.02/x
  3. Step 3: Cross multiply
    10,504.14x = 15,754.01 × 4,657.02
  4. Step 4: Simplify right side
    10,504.14x = 73,366,716.37
  5. Step 5: Solve for x
    x = 73,366,716.37/10,504.14
  6. Step 6: Final answer
    x = 6,984.55

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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.