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Finding the Fourth Proportional to 7,775.09, 10,731.89 and 4,419.77

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Solution

The fourth proportional to 7,775.09, 10,731.89 and 4,419.77 is: 6,100.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,775.09 : 10,731.89 = 4,419.77 : x
  2. Step 2: Convert to fraction form
    7,775.09/10,731.89 = 4,419.77/x
  3. Step 3: Cross multiply
    7,775.09x = 10,731.89 × 4,419.77
  4. Step 4: Simplify right side
    7,775.09x = 47,432,442.86
  5. Step 5: Solve for x
    x = 47,432,442.86/7,775.09
  6. Step 6: Final answer
    x = 6,100.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.