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Finding the Fourth Proportional to 6,365.08, 8,782.98 and 3,712.96

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Solution

The fourth proportional to 6,365.08, 8,782.98 and 3,712.96 is: 5,123.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,365.08 : 8,782.98 = 3,712.96 : x
  2. Step 2: Convert to fraction form
    6,365.08/8,782.98 = 3,712.96/x
  3. Step 3: Cross multiply
    6,365.08x = 8,782.98 × 3,712.96
  4. Step 4: Simplify right side
    6,365.08x = 32,610,853.42
  5. Step 5: Solve for x
    x = 32,610,853.42/6,365.08
  6. Step 6: Final answer
    x = 5,123.40

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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.