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Finding the Fourth Proportional to 7,641.66, 11,456.34 and 4,356.30

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Solution

The fourth proportional to 7,641.66, 11,456.34 and 4,356.30 is: 6,530.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.66 : 11,456.34 = 4,356.30 : x
  2. Step 2: Convert to fraction form
    7,641.66/11,456.34 = 4,356.30/x
  3. Step 3: Cross multiply
    7,641.66x = 11,456.34 × 4,356.30
  4. Step 4: Simplify right side
    7,641.66x = 49,907,253.94
  5. Step 5: Solve for x
    x = 49,907,253.94/7,641.66
  6. Step 6: Final answer
    x = 6,530.94

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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.