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Finding the Fourth Proportional to 10,258.38, 15,375.42 and 4,707.05

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Solution

The fourth proportional to 10,258.38, 15,375.42 and 4,707.05 is: 7,054.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,258.38 : 15,375.42 = 4,707.05 : x
  2. Step 2: Convert to fraction form
    10,258.38/15,375.42 = 4,707.05/x
  3. Step 3: Cross multiply
    10,258.38x = 15,375.42 × 4,707.05
  4. Step 4: Simplify right side
    10,258.38x = 72,372,793.83
  5. Step 5: Solve for x
    x = 72,372,793.83/10,258.38
  6. Step 6: Final answer
    x = 7,054.99

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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.