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Finding the Fourth Proportional to 10,049.39, 15,074.37 and 4,784.96

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Solution

The fourth proportional to 10,049.39, 15,074.37 and 4,784.96 is: 7,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,049.39 : 15,074.37 = 4,784.96 : x
  2. Step 2: Convert to fraction form
    10,049.39/15,074.37 = 4,784.96/x
  3. Step 3: Cross multiply
    10,049.39x = 15,074.37 × 4,784.96
  4. Step 4: Simplify right side
    10,049.39x = 72,130,182.10
  5. Step 5: Solve for x
    x = 72,130,182.10/10,049.39
  6. Step 6: Final answer
    x = 7,177.57

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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.