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Finding the Fourth Proportional to 8,507.91, 11,741.43 and 4,731.11

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Solution

The fourth proportional to 8,507.91, 11,741.43 and 4,731.11 is: 6,529.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,507.91 : 11,741.43 = 4,731.11 : x
  2. Step 2: Convert to fraction form
    8,507.91/11,741.43 = 4,731.11/x
  3. Step 3: Cross multiply
    8,507.91x = 11,741.43 × 4,731.11
  4. Step 4: Simplify right side
    8,507.91x = 55,549,914.52
  5. Step 5: Solve for x
    x = 55,549,914.52/8,507.91
  6. Step 6: Final answer
    x = 6,529.21

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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.