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Finding the Fourth Proportional to 11,574.96, 17,363.25 and 5,730

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Solution

The fourth proportional to 11,574.96, 17,363.25 and 5,730 is: 8,595.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,574.96 : 17,363.25 = 5,730 : x
  2. Step 2: Convert to fraction form
    11,574.96/17,363.25 = 5,730/x
  3. Step 3: Cross multiply
    11,574.96x = 17,363.25 × 5,730
  4. Step 4: Simplify right side
    11,574.96x = 99,491,422.50
  5. Step 5: Solve for x
    x = 99,491,422.50/11,574.96
  6. Step 6: Final answer
    x = 8,595.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.