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Finding the Fourth Proportional to 8,459.87, 11,674.40 and 4,682.93

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Solution

The fourth proportional to 8,459.87, 11,674.40 and 4,682.93 is: 6,462.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,459.87 : 11,674.40 = 4,682.93 : x
  2. Step 2: Convert to fraction form
    8,459.87/11,674.40 = 4,682.93/x
  3. Step 3: Cross multiply
    8,459.87x = 11,674.40 × 4,682.93
  4. Step 4: Simplify right side
    8,459.87x = 54,670,316.21
  5. Step 5: Solve for x
    x = 54,670,316.21/8,459.87
  6. Step 6: Final answer
    x = 6,462.32

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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.