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Finding the Fourth Proportional to 7,678.95, 11,516.05 and 5,046.31

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Solution

The fourth proportional to 7,678.95, 11,516.05 and 5,046.31 is: 7,567.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,678.95 : 11,516.05 = 5,046.31 : x
  2. Step 2: Convert to fraction form
    7,678.95/11,516.05 = 5,046.31/x
  3. Step 3: Cross multiply
    7,678.95x = 11,516.05 × 5,046.31
  4. Step 4: Simplify right side
    7,678.95x = 58,113,558.28
  5. Step 5: Solve for x
    x = 58,113,558.28/7,678.95
  6. Step 6: Final answer
    x = 7,567.90

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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.