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Finding the Fourth Proportional to 7,641.86, 11,462.32 and 2,710.85

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Solution

The fourth proportional to 7,641.86, 11,462.32 and 2,710.85 is: 4,066.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.86 : 11,462.32 = 2,710.85 : x
  2. Step 2: Convert to fraction form
    7,641.86/11,462.32 = 2,710.85/x
  3. Step 3: Cross multiply
    7,641.86x = 11,462.32 × 2,710.85
  4. Step 4: Simplify right side
    7,641.86x = 31,072,662.22
  5. Step 5: Solve for x
    x = 31,072,662.22/7,641.86
  6. Step 6: Final answer
    x = 4,066.11

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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.