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Finding the Fourth Proportional to 8,381.36, 11,565.96 and 4,655.60

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Solution

The fourth proportional to 8,381.36, 11,565.96 and 4,655.60 is: 6,424.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,381.36 : 11,565.96 = 4,655.60 : x
  2. Step 2: Convert to fraction form
    8,381.36/11,565.96 = 4,655.60/x
  3. Step 3: Cross multiply
    8,381.36x = 11,565.96 × 4,655.60
  4. Step 4: Simplify right side
    8,381.36x = 53,846,483.38
  5. Step 5: Solve for x
    x = 53,846,483.38/8,381.36
  6. Step 6: Final answer
    x = 6,424.55

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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.