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Finding the Fourth Proportional to 6,349.76, 8,779.39 and 5,561.55

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Solution

The fourth proportional to 6,349.76, 8,779.39 and 5,561.55 is: 7,689.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.76 : 8,779.39 = 5,561.55 : x
  2. Step 2: Convert to fraction form
    6,349.76/8,779.39 = 5,561.55/x
  3. Step 3: Cross multiply
    6,349.76x = 8,779.39 × 5,561.55
  4. Step 4: Simplify right side
    6,349.76x = 48,827,016.45
  5. Step 5: Solve for x
    x = 48,827,016.45/6,349.76
  6. Step 6: Final answer
    x = 7,689.58

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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.