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Finding the Fourth Proportional to 8,314.08, 11,473.36 and 4,588

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Solution

The fourth proportional to 8,314.08, 11,473.36 and 4,588 is: 6,331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.08 : 11,473.36 = 4,588 : x
  2. Step 2: Convert to fraction form
    8,314.08/11,473.36 = 4,588/x
  3. Step 3: Cross multiply
    8,314.08x = 11,473.36 × 4,588
  4. Step 4: Simplify right side
    8,314.08x = 52,639,775.68
  5. Step 5: Solve for x
    x = 52,639,775.68/8,314.08
  6. Step 6: Final answer
    x = 6,331.40

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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.