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Finding the Fourth Proportional to 8,314, 11,473.56 and 4,588.24

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Solution

The fourth proportional to 8,314, 11,473.56 and 4,588.24 is: 6,331.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314 : 11,473.56 = 4,588.24 : x
  2. Step 2: Convert to fraction form
    8,314/11,473.56 = 4,588.24/x
  3. Step 3: Cross multiply
    8,314x = 11,473.56 × 4,588.24
  4. Step 4: Simplify right side
    8,314x = 52,643,446.93
  5. Step 5: Solve for x
    x = 52,643,446.93/8,314
  6. Step 6: Final answer
    x = 6,331.90

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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.