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Finding the Fourth Proportional to 8,493, 12,743.76 and 4,055.64

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Solution

The fourth proportional to 8,493, 12,743.76 and 4,055.64 is: 6,085.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,493 : 12,743.76 = 4,055.64 : x
  2. Step 2: Convert to fraction form
    8,493/12,743.76 = 4,055.64/x
  3. Step 3: Cross multiply
    8,493x = 12,743.76 × 4,055.64
  4. Step 4: Simplify right side
    8,493x = 51,684,102.81
  5. Step 5: Solve for x
    x = 51,684,102.81/8,493
  6. Step 6: Final answer
    x = 6,085.49

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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.