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Finding the Fourth Proportional to 8,424.79, 12,637.01 and 3,743.53

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Solution

The fourth proportional to 8,424.79, 12,637.01 and 3,743.53 is: 5,615.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,424.79 : 12,637.01 = 3,743.53 : x
  2. Step 2: Convert to fraction form
    8,424.79/12,637.01 = 3,743.53/x
  3. Step 3: Cross multiply
    8,424.79x = 12,637.01 × 3,743.53
  4. Step 4: Simplify right side
    8,424.79x = 47,307,026.05
  5. Step 5: Solve for x
    x = 47,307,026.05/8,424.79
  6. Step 6: Final answer
    x = 5,615.22

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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.