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Finding the Fourth Proportional to 8,358.38, 11,537.55 and 5,703.89

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Solution

The fourth proportional to 8,358.38, 11,537.55 and 5,703.89 is: 7,873.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,358.38 : 11,537.55 = 5,703.89 : x
  2. Step 2: Convert to fraction form
    8,358.38/11,537.55 = 5,703.89/x
  3. Step 3: Cross multiply
    8,358.38x = 11,537.55 × 5,703.89
  4. Step 4: Simplify right side
    8,358.38x = 65,808,858.38
  5. Step 5: Solve for x
    x = 65,808,858.38/8,358.38
  6. Step 6: Final answer
    x = 7,873.40

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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.