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Finding the Fourth Proportional to 8,496, 11,724.07 and 4,719.40

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Solution

The fourth proportional to 8,496, 11,724.07 and 4,719.40 is: 6,512.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,496 : 11,724.07 = 4,719.40 : x
  2. Step 2: Convert to fraction form
    8,496/11,724.07 = 4,719.40/x
  3. Step 3: Cross multiply
    8,496x = 11,724.07 × 4,719.40
  4. Step 4: Simplify right side
    8,496x = 55,330,575.96
  5. Step 5: Solve for x
    x = 55,330,575.96/8,496
  6. Step 6: Final answer
    x = 6,512.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.