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Finding the Fourth Proportional to 10,463.73, 15,697.50 and 3,445.74

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Solution

The fourth proportional to 10,463.73, 15,697.50 and 3,445.74 is: 5,169.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,463.73 : 15,697.50 = 3,445.74 : x
  2. Step 2: Convert to fraction form
    10,463.73/15,697.50 = 3,445.74/x
  3. Step 3: Cross multiply
    10,463.73x = 15,697.50 × 3,445.74
  4. Step 4: Simplify right side
    10,463.73x = 54,089,503.65
  5. Step 5: Solve for x
    x = 54,089,503.65/10,463.73
  6. Step 6: Final answer
    x = 5,169.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.