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Finding the Fourth Proportional to 7,860.80, 11,773.78 and 4,565.72

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Solution

The fourth proportional to 7,860.80, 11,773.78 and 4,565.72 is: 6,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,860.80 : 11,773.78 = 4,565.72 : x
  2. Step 2: Convert to fraction form
    7,860.80/11,773.78 = 4,565.72/x
  3. Step 3: Cross multiply
    7,860.80x = 11,773.78 × 4,565.72
  4. Step 4: Simplify right side
    7,860.80x = 53,755,782.82
  5. Step 5: Solve for x
    x = 53,755,782.82/7,860.80
  6. Step 6: Final answer
    x = 6,838.46

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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.