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Finding the Fourth Proportional to 10,201.42, 15,289.17 and 4,657.78

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Solution

The fourth proportional to 10,201.42, 15,289.17 and 4,657.78 is: 6,980.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,201.42 : 15,289.17 = 4,657.78 : x
  2. Step 2: Convert to fraction form
    10,201.42/15,289.17 = 4,657.78/x
  3. Step 3: Cross multiply
    10,201.42x = 15,289.17 × 4,657.78
  4. Step 4: Simplify right side
    10,201.42x = 71,213,590.24
  5. Step 5: Solve for x
    x = 71,213,590.24/10,201.42
  6. Step 6: Final answer
    x = 6,980.75

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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.