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Finding the Fourth Proportional to 6,384.48, 8,779.77 and 5,109.54

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Solution

The fourth proportional to 6,384.48, 8,779.77 and 5,109.54 is: 7,026.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.48 : 8,779.77 = 5,109.54 : x
  2. Step 2: Convert to fraction form
    6,384.48/8,779.77 = 5,109.54/x
  3. Step 3: Cross multiply
    6,384.48x = 8,779.77 × 5,109.54
  4. Step 4: Simplify right side
    6,384.48x = 44,860,586.01
  5. Step 5: Solve for x
    x = 44,860,586.01/6,384.48
  6. Step 6: Final answer
    x = 7,026.51

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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.