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Finding the Fourth Proportional to 7,811.89, 10,776.98 and 4,666.25

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Solution

The fourth proportional to 7,811.89, 10,776.98 and 4,666.25 is: 6,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,811.89 : 10,776.98 = 4,666.25 : x
  2. Step 2: Convert to fraction form
    7,811.89/10,776.98 = 4,666.25/x
  3. Step 3: Cross multiply
    7,811.89x = 10,776.98 × 4,666.25
  4. Step 4: Simplify right side
    7,811.89x = 50,288,059.59
  5. Step 5: Solve for x
    x = 50,288,059.59/7,811.89
  6. Step 6: Final answer
    x = 6,437.38

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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.