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Finding the Fourth Proportional to 7,811.93, 10,780.73 and 4,455.24

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Solution

The fourth proportional to 7,811.93, 10,780.73 and 4,455.24 is: 6,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.93 : 10,780.73 = 4,455.24 : x
  2. Step 2: Convert to fraction form
    7,811.93/10,780.73 = 4,455.24/x
  3. Step 3: Cross multiply
    7,811.93x = 10,780.73 × 4,455.24
  4. Step 4: Simplify right side
    7,811.93x = 48,030,739.53
  5. Step 5: Solve for x
    x = 48,030,739.53/7,811.93
  6. Step 6: Final answer
    x = 6,148.38

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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.