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Finding the Fourth Proportional to 7,778.10, 11,654.19 and 5,465.46

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Solution

The fourth proportional to 7,778.10, 11,654.19 and 5,465.46 is: 8,189.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,778.10 : 11,654.19 = 5,465.46 : x
  2. Step 2: Convert to fraction form
    7,778.10/11,654.19 = 5,465.46/x
  3. Step 3: Cross multiply
    7,778.10x = 11,654.19 × 5,465.46
  4. Step 4: Simplify right side
    7,778.10x = 63,695,509.28
  5. Step 5: Solve for x
    x = 63,695,509.28/7,778.10
  6. Step 6: Final answer
    x = 8,189.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.