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Finding the Fourth Proportional to 8,378.13, 11,565.75 and 4,840.65

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Solution

The fourth proportional to 8,378.13, 11,565.75 and 4,840.65 is: 6,682.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.13 : 11,565.75 = 4,840.65 : x
  2. Step 2: Convert to fraction form
    8,378.13/11,565.75 = 4,840.65/x
  3. Step 3: Cross multiply
    8,378.13x = 11,565.75 × 4,840.65
  4. Step 4: Simplify right side
    8,378.13x = 55,985,798.42
  5. Step 5: Solve for x
    x = 55,985,798.42/8,378.13
  6. Step 6: Final answer
    x = 6,682.38

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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.